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Finding the Third Proportional to 124,636.75 and 272,115.50

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Solution

The third proportional to 124,636.75 and 272,115.50 is: 594,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,636.75 : 272,115.50 = 272,115.50 : x
  2. Step 2: Convert to fraction form
    124,636.75/272,115.50 = 272,115.50/x
  3. Step 3: Cross multiply
    124,636.75x = 272,115.50 × 272,115.50
  4. Step 4: Simplify right side
    124,636.75x = 74,046,845,340.25
  5. Step 5: Solve for x
    x = 74,046,845,340.25/124,636.75
  6. Step 6: Final answer
    x = 594,101.22

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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.