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Finding the Third Proportional to 58,300 and 124,897

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Solution

The third proportional to 58,300 and 124,897 is: 267,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,300 : 124,897 = 124,897 : x
  2. Step 2: Convert to fraction form
    58,300/124,897 = 124,897/x
  3. Step 3: Cross multiply
    58,300x = 124,897 × 124,897
  4. Step 4: Simplify right side
    58,300x = 15,599,260,609
  5. Step 5: Solve for x
    x = 15,599,260,609/58,300
  6. Step 6: Final answer
    x = 267,568.79

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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.