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Finding the Third Proportional to 48,693.50 and 76,115.75

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Solution

The third proportional to 48,693.50 and 76,115.75 is: 118,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,693.50 : 76,115.75 = 76,115.75 : x
  2. Step 2: Convert to fraction form
    48,693.50/76,115.75 = 76,115.75/x
  3. Step 3: Cross multiply
    48,693.50x = 76,115.75 × 76,115.75
  4. Step 4: Simplify right side
    48,693.50x = 5,793,607,398.06
  5. Step 5: Solve for x
    x = 5,793,607,398.06/48,693.50
  6. Step 6: Final answer
    x = 118,981.12

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