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Finding the Third Proportional to 60,980 and 133,442

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Solution

The third proportional to 60,980 and 133,442 is: 292,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,980 : 133,442 = 133,442 : x
  2. Step 2: Convert to fraction form
    60,980/133,442 = 133,442/x
  3. Step 3: Cross multiply
    60,980x = 133,442 × 133,442
  4. Step 4: Simplify right side
    60,980x = 17,806,767,364
  5. Step 5: Solve for x
    x = 17,806,767,364/60,980
  6. Step 6: Final answer
    x = 292,009.96

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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.