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Finding the Third Proportional to 75,069 and 88,304.06

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Solution

The third proportional to 75,069 and 88,304.06 is: 103,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,069 : 88,304.06 = 88,304.06 : x
  2. Step 2: Convert to fraction form
    75,069/88,304.06 = 88,304.06/x
  3. Step 3: Cross multiply
    75,069x = 88,304.06 × 88,304.06
  4. Step 4: Simplify right side
    75,069x = 7,797,607,454.00
  5. Step 5: Solve for x
    x = 7,797,607,454.00/75,069
  6. Step 6: Final answer
    x = 103,872.54

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.