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Finding the Third Proportional to 124,046 and 258,588

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Solution

The third proportional to 124,046 and 258,588 is: 539,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,046 : 258,588 = 258,588 : x
  2. Step 2: Convert to fraction form
    124,046/258,588 = 258,588/x
  3. Step 3: Cross multiply
    124,046x = 258,588 × 258,588
  4. Step 4: Simplify right side
    124,046x = 66,867,753,744
  5. Step 5: Solve for x
    x = 66,867,753,744/124,046
  6. Step 6: Final answer
    x = 539,056.11

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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.