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Finding the Third Proportional to 119,624 and 251,642

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Solution

The third proportional to 119,624 and 251,642 is: 529,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,624 : 251,642 = 251,642 : x
  2. Step 2: Convert to fraction form
    119,624/251,642 = 251,642/x
  3. Step 3: Cross multiply
    119,624x = 251,642 × 251,642
  4. Step 4: Simplify right side
    119,624x = 63,323,696,164
  5. Step 5: Solve for x
    x = 63,323,696,164/119,624
  6. Step 6: Final answer
    x = 529,356.12

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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.