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Finding the Third Proportional to 58,416 and 127,643

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Solution

The third proportional to 58,416 and 127,643 is: 278,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,416 : 127,643 = 127,643 : x
  2. Step 2: Convert to fraction form
    58,416/127,643 = 127,643/x
  3. Step 3: Cross multiply
    58,416x = 127,643 × 127,643
  4. Step 4: Simplify right side
    58,416x = 16,292,735,449
  5. Step 5: Solve for x
    x = 16,292,735,449/58,416
  6. Step 6: Final answer
    x = 278,908.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.