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Finding the Third Proportional to 91,646.44 and 138,056.06

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Solution

The third proportional to 91,646.44 and 138,056.06 is: 207,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,646.44 : 138,056.06 = 138,056.06 : x
  2. Step 2: Convert to fraction form
    91,646.44/138,056.06 = 138,056.06/x
  3. Step 3: Cross multiply
    91,646.44x = 138,056.06 × 138,056.06
  4. Step 4: Simplify right side
    91,646.44x = 19,059,476,393.00
  5. Step 5: Solve for x
    x = 19,059,476,393.00/91,646.44
  6. Step 6: Final answer
    x = 207,967.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.