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Finding the Third Proportional to 57,466 and 85,853

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Solution

The third proportional to 57,466 and 85,853 is: 128,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,466 : 85,853 = 85,853 : x
  2. Step 2: Convert to fraction form
    57,466/85,853 = 85,853/x
  3. Step 3: Cross multiply
    57,466x = 85,853 × 85,853
  4. Step 4: Simplify right side
    57,466x = 7,370,737,609
  5. Step 5: Solve for x
    x = 7,370,737,609/57,466
  6. Step 6: Final answer
    x = 128,262.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.