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Finding the Third Proportional to 74,246.75 and 98,452

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Solution

The third proportional to 74,246.75 and 98,452 is: 130,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,246.75 : 98,452 = 98,452 : x
  2. Step 2: Convert to fraction form
    74,246.75/98,452 = 98,452/x
  3. Step 3: Cross multiply
    74,246.75x = 98,452 × 98,452
  4. Step 4: Simplify right side
    74,246.75x = 9,692,796,304
  5. Step 5: Solve for x
    x = 9,692,796,304/74,246.75
  6. Step 6: Final answer
    x = 130,548.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.