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Finding the Third Proportional to 58,413 and 127,352

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Solution

The third proportional to 58,413 and 127,352 is: 277,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,413 : 127,352 = 127,352 : x
  2. Step 2: Convert to fraction form
    58,413/127,352 = 127,352/x
  3. Step 3: Cross multiply
    58,413x = 127,352 × 127,352
  4. Step 4: Simplify right side
    58,413x = 16,218,531,904
  5. Step 5: Solve for x
    x = 16,218,531,904/58,413
  6. Step 6: Final answer
    x = 277,652.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.