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Finding the Third Proportional to 55,294.50 and 86,499

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Solution

The third proportional to 55,294.50 and 86,499 is: 135,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,294.50 : 86,499 = 86,499 : x
  2. Step 2: Convert to fraction form
    55,294.50/86,499 = 86,499/x
  3. Step 3: Cross multiply
    55,294.50x = 86,499 × 86,499
  4. Step 4: Simplify right side
    55,294.50x = 7,482,077,001
  5. Step 5: Solve for x
    x = 7,482,077,001/55,294.50
  6. Step 6: Final answer
    x = 135,313.22

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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.