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Finding the Third Proportional to 58,239 and 124,788

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Solution

The third proportional to 58,239 and 124,788 is: 267,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,239 : 124,788 = 124,788 : x
  2. Step 2: Convert to fraction form
    58,239/124,788 = 124,788/x
  3. Step 3: Cross multiply
    58,239x = 124,788 × 124,788
  4. Step 4: Simplify right side
    58,239x = 15,572,044,944
  5. Step 5: Solve for x
    x = 15,572,044,944/58,239
  6. Step 6: Final answer
    x = 267,381.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.