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Finding the Third Proportional to 124,651 and 266,789

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Solution

The third proportional to 124,651 and 266,789 is: 571,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,651 : 266,789 = 266,789 : x
  2. Step 2: Convert to fraction form
    124,651/266,789 = 266,789/x
  3. Step 3: Cross multiply
    124,651x = 266,789 × 266,789
  4. Step 4: Simplify right side
    124,651x = 71,176,370,521
  5. Step 5: Solve for x
    x = 71,176,370,521/124,651
  6. Step 6: Final answer
    x = 571,005.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.