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Finding the Third Proportional to 124,116.50 and 267,911

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Solution

The third proportional to 124,116.50 and 267,911 is: 578,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,116.50 : 267,911 = 267,911 : x
  2. Step 2: Convert to fraction form
    124,116.50/267,911 = 267,911/x
  3. Step 3: Cross multiply
    124,116.50x = 267,911 × 267,911
  4. Step 4: Simplify right side
    124,116.50x = 71,776,303,921
  5. Step 5: Solve for x
    x = 71,776,303,921/124,116.50
  6. Step 6: Final answer
    x = 578,297.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.