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Finding the Third Proportional to 57,753 and 86,389.88

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Solution

The third proportional to 57,753 and 86,389.88 is: 129,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,753 : 86,389.88 = 86,389.88 : x
  2. Step 2: Convert to fraction form
    57,753/86,389.88 = 86,389.88/x
  3. Step 3: Cross multiply
    57,753x = 86,389.88 × 86,389.88
  4. Step 4: Simplify right side
    57,753x = 7,463,210,502.52
  5. Step 5: Solve for x
    x = 7,463,210,502.52/57,753
  6. Step 6: Final answer
    x = 129,226.37

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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.