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Finding the Third Proportional to 102,076.31 and 159,526.13

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Solution

The third proportional to 102,076.31 and 159,526.13 is: 249,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,076.31 : 159,526.13 = 159,526.13 : x
  2. Step 2: Convert to fraction form
    102,076.31/159,526.13 = 159,526.13/x
  3. Step 3: Cross multiply
    102,076.31x = 159,526.13 × 159,526.13
  4. Step 4: Simplify right side
    102,076.31x = 25,448,584,557.52
  5. Step 5: Solve for x
    x = 25,448,584,557.52/102,076.31
  6. Step 6: Final answer
    x = 249,309.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.