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Finding the Third Proportional to 124,011.50 and 269,164

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Solution

The third proportional to 124,011.50 and 269,164 is: 584,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,011.50 : 269,164 = 269,164 : x
  2. Step 2: Convert to fraction form
    124,011.50/269,164 = 269,164/x
  3. Step 3: Cross multiply
    124,011.50x = 269,164 × 269,164
  4. Step 4: Simplify right side
    124,011.50x = 72,449,258,896
  5. Step 5: Solve for x
    x = 72,449,258,896/124,011.50
  6. Step 6: Final answer
    x = 584,214.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.