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Finding the Third Proportional to 125,128.50 and 269,941.50

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Solution

The third proportional to 125,128.50 and 269,941.50 is: 582,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,128.50 : 269,941.50 = 269,941.50 : x
  2. Step 2: Convert to fraction form
    125,128.50/269,941.50 = 269,941.50/x
  3. Step 3: Cross multiply
    125,128.50x = 269,941.50 × 269,941.50
  4. Step 4: Simplify right side
    125,128.50x = 72,868,413,422.25
  5. Step 5: Solve for x
    x = 72,868,413,422.25/125,128.50
  6. Step 6: Final answer
    x = 582,348.65

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