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Finding the Third Proportional to 58,207 and 125,688

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Solution

The third proportional to 58,207 and 125,688 is: 271,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,207 : 125,688 = 125,688 : x
  2. Step 2: Convert to fraction form
    58,207/125,688 = 125,688/x
  3. Step 3: Cross multiply
    58,207x = 125,688 × 125,688
  4. Step 4: Simplify right side
    58,207x = 15,797,473,344
  5. Step 5: Solve for x
    x = 15,797,473,344/58,207
  6. Step 6: Final answer
    x = 271,401.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.