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Finding the Third Proportional to 124,206 and 175,581

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Solution

The third proportional to 124,206 and 175,581 is: 248,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,206 : 175,581 = 175,581 : x
  2. Step 2: Convert to fraction form
    124,206/175,581 = 175,581/x
  3. Step 3: Cross multiply
    124,206x = 175,581 × 175,581
  4. Step 4: Simplify right side
    124,206x = 30,828,687,561
  5. Step 5: Solve for x
    x = 30,828,687,561/124,206
  6. Step 6: Final answer
    x = 248,206.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.