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Finding the Third Proportional to 124,113 and 267,903.75

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Solution

The third proportional to 124,113 and 267,903.75 is: 578,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,113 : 267,903.75 = 267,903.75 : x
  2. Step 2: Convert to fraction form
    124,113/267,903.75 = 267,903.75/x
  3. Step 3: Cross multiply
    124,113x = 267,903.75 × 267,903.75
  4. Step 4: Simplify right side
    124,113x = 71,772,419,264.06
  5. Step 5: Solve for x
    x = 71,772,419,264.06/124,113
  6. Step 6: Final answer
    x = 578,282.85

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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.