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Finding the Third Proportional to 125,923.36 and 272,144.81

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Solution

The third proportional to 125,923.36 and 272,144.81 is: 588,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,923.36 : 272,144.81 = 272,144.81 : x
  2. Step 2: Convert to fraction form
    125,923.36/272,144.81 = 272,144.81/x
  3. Step 3: Cross multiply
    125,923.36x = 272,144.81 × 272,144.81
  4. Step 4: Simplify right side
    125,923.36x = 74,062,798,970.66
  5. Step 5: Solve for x
    x = 74,062,798,970.66/125,923.36
  6. Step 6: Final answer
    x = 588,157.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.