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Finding the Third Proportional to 124,366.50 and 272,061

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Solution

The third proportional to 124,366.50 and 272,061 is: 595,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,366.50 : 272,061 = 272,061 : x
  2. Step 2: Convert to fraction form
    124,366.50/272,061 = 272,061/x
  3. Step 3: Cross multiply
    124,366.50x = 272,061 × 272,061
  4. Step 4: Simplify right side
    124,366.50x = 74,017,187,721
  5. Step 5: Solve for x
    x = 74,017,187,721/124,366.50
  6. Step 6: Final answer
    x = 595,153.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.