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Finding the Third Proportional to 124,805.25 and 269,293.50

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Solution

The third proportional to 124,805.25 and 269,293.50 is: 581,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,805.25 : 269,293.50 = 269,293.50 : x
  2. Step 2: Convert to fraction form
    124,805.25/269,293.50 = 269,293.50/x
  3. Step 3: Cross multiply
    124,805.25x = 269,293.50 × 269,293.50
  4. Step 4: Simplify right side
    124,805.25x = 72,518,989,142.25
  5. Step 5: Solve for x
    x = 72,518,989,142.25/124,805.25
  6. Step 6: Final answer
    x = 581,057.20

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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.