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Finding the Third Proportional to 58,464 and 86,436

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Solution

The third proportional to 58,464 and 86,436 is: 127,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,464 : 86,436 = 86,436 : x
  2. Step 2: Convert to fraction form
    58,464/86,436 = 86,436/x
  3. Step 3: Cross multiply
    58,464x = 86,436 × 86,436
  4. Step 4: Simplify right side
    58,464x = 7,471,182,096
  5. Step 5: Solve for x
    x = 7,471,182,096/58,464
  6. Step 6: Final answer
    x = 127,791.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.