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Finding the Third Proportional to 124,675.50 and 267,211.50

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Solution

The third proportional to 124,675.50 and 267,211.50 is: 572,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,675.50 : 267,211.50 = 267,211.50 : x
  2. Step 2: Convert to fraction form
    124,675.50/267,211.50 = 267,211.50/x
  3. Step 3: Cross multiply
    124,675.50x = 267,211.50 × 267,211.50
  4. Step 4: Simplify right side
    124,675.50x = 71,401,985,732.25
  5. Step 5: Solve for x
    x = 71,401,985,732.25/124,675.50
  6. Step 6: Final answer
    x = 572,702.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.