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Finding the Third Proportional to 124,698 and 266,904

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Solution

The third proportional to 124,698 and 266,904 is: 571,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,698 : 266,904 = 266,904 : x
  2. Step 2: Convert to fraction form
    124,698/266,904 = 266,904/x
  3. Step 3: Cross multiply
    124,698x = 266,904 × 266,904
  4. Step 4: Simplify right side
    124,698x = 71,237,745,216
  5. Step 5: Solve for x
    x = 71,237,745,216/124,698
  6. Step 6: Final answer
    x = 571,282.18

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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.