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Finding the Third Proportional to 58,414 and 127,639

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Solution

The third proportional to 58,414 and 127,639 is: 278,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,414 : 127,639 = 127,639 : x
  2. Step 2: Convert to fraction form
    58,414/127,639 = 127,639/x
  3. Step 3: Cross multiply
    58,414x = 127,639 × 127,639
  4. Step 4: Simplify right side
    58,414x = 16,291,714,321
  5. Step 5: Solve for x
    x = 16,291,714,321/58,414
  6. Step 6: Final answer
    x = 278,900.85

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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.