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Finding the Third Proportional to 124,569.75 and 292,446.75

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Solution

The third proportional to 124,569.75 and 292,446.75 is: 686,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,569.75 : 292,446.75 = 292,446.75 : x
  2. Step 2: Convert to fraction form
    124,569.75/292,446.75 = 292,446.75/x
  3. Step 3: Cross multiply
    124,569.75x = 292,446.75 × 292,446.75
  4. Step 4: Simplify right side
    124,569.75x = 85,525,101,585.56
  5. Step 5: Solve for x
    x = 85,525,101,585.56/124,569.75
  6. Step 6: Final answer
    x = 686,563.97

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.