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Finding the Third Proportional to 57,466.13 and 86,277.66

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Solution

The third proportional to 57,466.13 and 86,277.66 is: 129,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,466.13 : 86,277.66 = 86,277.66 : x
  2. Step 2: Convert to fraction form
    57,466.13/86,277.66 = 86,277.66/x
  3. Step 3: Cross multiply
    57,466.13x = 86,277.66 × 86,277.66
  4. Step 4: Simplify right side
    57,466.13x = 7,443,833,967.99
  5. Step 5: Solve for x
    x = 7,443,833,967.99/57,466.13
  6. Step 6: Final answer
    x = 129,534.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.