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Finding the Third Proportional to 63,918 and 96,763.50

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Solution

The third proportional to 63,918 and 96,763.50 is: 146,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,918 : 96,763.50 = 96,763.50 : x
  2. Step 2: Convert to fraction form
    63,918/96,763.50 = 96,763.50/x
  3. Step 3: Cross multiply
    63,918x = 96,763.50 × 96,763.50
  4. Step 4: Simplify right side
    63,918x = 9,363,174,932.25
  5. Step 5: Solve for x
    x = 9,363,174,932.25/63,918
  6. Step 6: Final answer
    x = 146,487.30

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