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Finding the Third Proportional to 125,126.02 and 269,935.03

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Solution

The third proportional to 125,126.02 and 269,935.03 is: 582,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,126.02 : 269,935.03 = 269,935.03 : x
  2. Step 2: Convert to fraction form
    125,126.02/269,935.03 = 269,935.03/x
  3. Step 3: Cross multiply
    125,126.02x = 269,935.03 × 269,935.03
  4. Step 4: Simplify right side
    125,126.02x = 72,864,921,095.94
  5. Step 5: Solve for x
    x = 72,864,921,095.94/125,126.02
  6. Step 6: Final answer
    x = 582,332.31

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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.