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Finding the Third Proportional to 124,339 and 266,129

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Solution

The third proportional to 124,339 and 266,129 is: 569,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,339 : 266,129 = 266,129 : x
  2. Step 2: Convert to fraction form
    124,339/266,129 = 266,129/x
  3. Step 3: Cross multiply
    124,339x = 266,129 × 266,129
  4. Step 4: Simplify right side
    124,339x = 70,824,644,641
  5. Step 5: Solve for x
    x = 70,824,644,641/124,339
  6. Step 6: Final answer
    x = 569,609.25

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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.