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Finding the Third Proportional to 124,045 and 258,586

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Solution

The third proportional to 124,045 and 258,586 is: 539,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,045 : 258,586 = 258,586 : x
  2. Step 2: Convert to fraction form
    124,045/258,586 = 258,586/x
  3. Step 3: Cross multiply
    124,045x = 258,586 × 258,586
  4. Step 4: Simplify right side
    124,045x = 66,866,719,396
  5. Step 5: Solve for x
    x = 66,866,719,396/124,045
  6. Step 6: Final answer
    x = 539,052.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.