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Finding the Third Proportional to 121,376 and 185,759

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Solution

The third proportional to 121,376 and 185,759 is: 284,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,376 : 185,759 = 185,759 : x
  2. Step 2: Convert to fraction form
    121,376/185,759 = 185,759/x
  3. Step 3: Cross multiply
    121,376x = 185,759 × 185,759
  4. Step 4: Simplify right side
    121,376x = 34,506,406,081
  5. Step 5: Solve for x
    x = 34,506,406,081/121,376
  6. Step 6: Final answer
    x = 284,293.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.