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Finding the Third Proportional to 63,665 and 96,881.50

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Solution

The third proportional to 63,665 and 96,881.50 is: 147,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,665 : 96,881.50 = 96,881.50 : x
  2. Step 2: Convert to fraction form
    63,665/96,881.50 = 96,881.50/x
  3. Step 3: Cross multiply
    63,665x = 96,881.50 × 96,881.50
  4. Step 4: Simplify right side
    63,665x = 9,386,025,042.25
  5. Step 5: Solve for x
    x = 9,386,025,042.25/63,665
  6. Step 6: Final answer
    x = 147,428.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.