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Finding the Third Proportional to 124,696 and 266,900

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Solution

The third proportional to 124,696 and 266,900 is: 571,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,696 : 266,900 = 266,900 : x
  2. Step 2: Convert to fraction form
    124,696/266,900 = 266,900/x
  3. Step 3: Cross multiply
    124,696x = 266,900 × 266,900
  4. Step 4: Simplify right side
    124,696x = 71,235,610,000
  5. Step 5: Solve for x
    x = 71,235,610,000/124,696
  6. Step 6: Final answer
    x = 571,274.22

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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.