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Finding the Third Proportional to 73,473 and 109,129.50

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Solution

The third proportional to 73,473 and 109,129.50 is: 162,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,473 : 109,129.50 = 109,129.50 : x
  2. Step 2: Convert to fraction form
    73,473/109,129.50 = 109,129.50/x
  3. Step 3: Cross multiply
    73,473x = 109,129.50 × 109,129.50
  4. Step 4: Simplify right side
    73,473x = 11,909,247,770.25
  5. Step 5: Solve for x
    x = 11,909,247,770.25/73,473
  6. Step 6: Final answer
    x = 162,090.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.