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Finding the Third Proportional to 61,981 and 135,482

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Solution

The third proportional to 61,981 and 135,482 is: 296,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,981 : 135,482 = 135,482 : x
  2. Step 2: Convert to fraction form
    61,981/135,482 = 135,482/x
  3. Step 3: Cross multiply
    61,981x = 135,482 × 135,482
  4. Step 4: Simplify right side
    61,981x = 18,355,372,324
  5. Step 5: Solve for x
    x = 18,355,372,324/61,981
  6. Step 6: Final answer
    x = 296,145.15

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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.