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Finding the Third Proportional to 124,824.16 and 273,001.96

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Solution

The third proportional to 124,824.16 and 273,001.96 is: 597,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,824.16 : 273,001.96 = 273,001.96 : x
  2. Step 2: Convert to fraction form
    124,824.16/273,001.96 = 273,001.96/x
  3. Step 3: Cross multiply
    124,824.16x = 273,001.96 × 273,001.96
  4. Step 4: Simplify right side
    124,824.16x = 74,530,068,542.89
  5. Step 5: Solve for x
    x = 74,530,068,542.89/124,824.16
  6. Step 6: Final answer
    x = 597,080.45

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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.