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Finding the Third Proportional to 124,691 and 269,065

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Solution

The third proportional to 124,691 and 269,065 is: 580,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,691 : 269,065 = 269,065 : x
  2. Step 2: Convert to fraction form
    124,691/269,065 = 269,065/x
  3. Step 3: Cross multiply
    124,691x = 269,065 × 269,065
  4. Step 4: Simplify right side
    124,691x = 72,395,974,225
  5. Step 5: Solve for x
    x = 72,395,974,225/124,691
  6. Step 6: Final answer
    x = 580,603.04

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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.