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Finding the Third Proportional to 124,664 and 266,842

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Solution

The third proportional to 124,664 and 266,842 is: 571,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,664 : 266,842 = 266,842 : x
  2. Step 2: Convert to fraction form
    124,664/266,842 = 266,842/x
  3. Step 3: Cross multiply
    124,664x = 266,842 × 266,842
  4. Step 4: Simplify right side
    124,664x = 71,204,652,964
  5. Step 5: Solve for x
    x = 71,204,652,964/124,664
  6. Step 6: Final answer
    x = 571,172.54

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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.