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Finding the Third Proportional to 124,636.50 and 272,115

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Solution

The third proportional to 124,636.50 and 272,115 is: 594,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,636.50 : 272,115 = 272,115 : x
  2. Step 2: Convert to fraction form
    124,636.50/272,115 = 272,115/x
  3. Step 3: Cross multiply
    124,636.50x = 272,115 × 272,115
  4. Step 4: Simplify right side
    124,636.50x = 74,046,573,225
  5. Step 5: Solve for x
    x = 74,046,573,225/124,636.50
  6. Step 6: Final answer
    x = 594,100.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.