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Finding the Third Proportional to 65,801.25 and 96,244.88

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Solution

The third proportional to 65,801.25 and 96,244.88 is: 140,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801.25 : 96,244.88 = 96,244.88 : x
  2. Step 2: Convert to fraction form
    65,801.25/96,244.88 = 96,244.88/x
  3. Step 3: Cross multiply
    65,801.25x = 96,244.88 × 96,244.88
  4. Step 4: Simplify right side
    65,801.25x = 9,263,075,963.77
  5. Step 5: Solve for x
    x = 9,263,075,963.77/65,801.25
  6. Step 6: Final answer
    x = 140,773.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.