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Finding the Third Proportional to 56,466 and 84,791

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Solution

The third proportional to 56,466 and 84,791 is: 127,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,466 : 84,791 = 84,791 : x
  2. Step 2: Convert to fraction form
    56,466/84,791 = 84,791/x
  3. Step 3: Cross multiply
    56,466x = 84,791 × 84,791
  4. Step 4: Simplify right side
    56,466x = 7,189,513,681
  5. Step 5: Solve for x
    x = 7,189,513,681/56,466
  6. Step 6: Final answer
    x = 127,324.65

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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.