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Finding the Third Proportional to 55,098 and 72,763.50

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Solution

The third proportional to 55,098 and 72,763.50 is: 96,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,098 : 72,763.50 = 72,763.50 : x
  2. Step 2: Convert to fraction form
    55,098/72,763.50 = 72,763.50/x
  3. Step 3: Cross multiply
    55,098x = 72,763.50 × 72,763.50
  4. Step 4: Simplify right side
    55,098x = 5,294,526,932.25
  5. Step 5: Solve for x
    x = 5,294,526,932.25/55,098
  6. Step 6: Final answer
    x = 96,092.91

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.