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Finding the Third Proportional to 125,127 and 269,935.50

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Solution

The third proportional to 125,127 and 269,935.50 is: 582,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,127 : 269,935.50 = 269,935.50 : x
  2. Step 2: Convert to fraction form
    125,127/269,935.50 = 269,935.50/x
  3. Step 3: Cross multiply
    125,127x = 269,935.50 × 269,935.50
  4. Step 4: Simplify right side
    125,127x = 72,865,174,160.25
  5. Step 5: Solve for x
    x = 72,865,174,160.25/125,127
  6. Step 6: Final answer
    x = 582,329.75

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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.