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Finding the Third Proportional to 124,662 and 266,838

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Solution

The third proportional to 124,662 and 266,838 is: 571,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,662 : 266,838 = 266,838 : x
  2. Step 2: Convert to fraction form
    124,662/266,838 = 266,838/x
  3. Step 3: Cross multiply
    124,662x = 266,838 × 266,838
  4. Step 4: Simplify right side
    124,662x = 71,202,518,244
  5. Step 5: Solve for x
    x = 71,202,518,244/124,662
  6. Step 6: Final answer
    x = 571,164.57

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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.