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Finding the Third Proportional to 74,522 and 96,798

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Solution

The third proportional to 74,522 and 96,798 is: 125,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,522 : 96,798 = 96,798 : x
  2. Step 2: Convert to fraction form
    74,522/96,798 = 96,798/x
  3. Step 3: Cross multiply
    74,522x = 96,798 × 96,798
  4. Step 4: Simplify right side
    74,522x = 9,369,852,804
  5. Step 5: Solve for x
    x = 9,369,852,804/74,522
  6. Step 6: Final answer
    x = 125,732.71

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.