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Finding the Third Proportional to 60,976 and 133,124

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Solution

The third proportional to 60,976 and 133,124 is: 290,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,976 : 133,124 = 133,124 : x
  2. Step 2: Convert to fraction form
    60,976/133,124 = 133,124/x
  3. Step 3: Cross multiply
    60,976x = 133,124 × 133,124
  4. Step 4: Simplify right side
    60,976x = 17,721,999,376
  5. Step 5: Solve for x
    x = 17,721,999,376/60,976
  6. Step 6: Final answer
    x = 290,638.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.