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Finding the Third Proportional to 137,659.50 and 193,848.19

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Solution

The third proportional to 137,659.50 and 193,848.19 is: 272,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,659.50 : 193,848.19 = 193,848.19 : x
  2. Step 2: Convert to fraction form
    137,659.50/193,848.19 = 193,848.19/x
  3. Step 3: Cross multiply
    137,659.50x = 193,848.19 × 193,848.19
  4. Step 4: Simplify right side
    137,659.50x = 37,577,119,797.04
  5. Step 5: Solve for x
    x = 37,577,119,797.04/137,659.50
  6. Step 6: Final answer
    x = 272,971.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.