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Finding the Third Proportional to 124,022.50 and 268,637

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Solution

The third proportional to 124,022.50 and 268,637 is: 581,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,022.50 : 268,637 = 268,637 : x
  2. Step 2: Convert to fraction form
    124,022.50/268,637 = 268,637/x
  3. Step 3: Cross multiply
    124,022.50x = 268,637 × 268,637
  4. Step 4: Simplify right side
    124,022.50x = 72,165,837,769
  5. Step 5: Solve for x
    x = 72,165,837,769/124,022.50
  6. Step 6: Final answer
    x = 581,876.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.