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Finding the Third Proportional to 57,486 and 121,929

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Solution

The third proportional to 57,486 and 121,929 is: 258,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,486 : 121,929 = 121,929 : x
  2. Step 2: Convert to fraction form
    57,486/121,929 = 121,929/x
  3. Step 3: Cross multiply
    57,486x = 121,929 × 121,929
  4. Step 4: Simplify right side
    57,486x = 14,866,681,041
  5. Step 5: Solve for x
    x = 14,866,681,041/57,486
  6. Step 6: Final answer
    x = 258,613.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.