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Finding the Third Proportional to 119,642 and 251,677

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Solution

The third proportional to 119,642 and 251,677 is: 529,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642 : 251,677 = 251,677 : x
  2. Step 2: Convert to fraction form
    119,642/251,677 = 251,677/x
  3. Step 3: Cross multiply
    119,642x = 251,677 × 251,677
  4. Step 4: Simplify right side
    119,642x = 63,341,312,329
  5. Step 5: Solve for x
    x = 63,341,312,329/119,642
  6. Step 6: Final answer
    x = 529,423.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.