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Finding the Third Proportional to 124,307.72 and 272,125.69

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Solution

The third proportional to 124,307.72 and 272,125.69 is: 595,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,307.72 : 272,125.69 = 272,125.69 : x
  2. Step 2: Convert to fraction form
    124,307.72/272,125.69 = 272,125.69/x
  3. Step 3: Cross multiply
    124,307.72x = 272,125.69 × 272,125.69
  4. Step 4: Simplify right side
    124,307.72x = 74,052,389,797.35
  5. Step 5: Solve for x
    x = 74,052,389,797.35/124,307.72
  6. Step 6: Final answer
    x = 595,718.36

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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.