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Finding the Third Proportional to 60,446 and 131,646

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Solution

The third proportional to 60,446 and 131,646 is: 286,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,446 : 131,646 = 131,646 : x
  2. Step 2: Convert to fraction form
    60,446/131,646 = 131,646/x
  3. Step 3: Cross multiply
    60,446x = 131,646 × 131,646
  4. Step 4: Simplify right side
    60,446x = 17,330,669,316
  5. Step 5: Solve for x
    x = 17,330,669,316/60,446
  6. Step 6: Final answer
    x = 286,713.25

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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.