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Finding the Third Proportional to 60,671 and 130,124

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Solution

The third proportional to 60,671 and 130,124 is: 279,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,671 : 130,124 = 130,124 : x
  2. Step 2: Convert to fraction form
    60,671/130,124 = 130,124/x
  3. Step 3: Cross multiply
    60,671x = 130,124 × 130,124
  4. Step 4: Simplify right side
    60,671x = 16,932,255,376
  5. Step 5: Solve for x
    x = 16,932,255,376/60,671
  6. Step 6: Final answer
    x = 279,083.18

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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.