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Finding the Third Proportional to 60,988 and 131,696

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Solution

The third proportional to 60,988 and 131,696 is: 284,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,988 : 131,696 = 131,696 : x
  2. Step 2: Convert to fraction form
    60,988/131,696 = 131,696/x
  3. Step 3: Cross multiply
    60,988x = 131,696 × 131,696
  4. Step 4: Simplify right side
    60,988x = 17,343,836,416
  5. Step 5: Solve for x
    x = 17,343,836,416/60,988
  6. Step 6: Final answer
    x = 284,381.13

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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.