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Finding the Third Proportional to 71,813.25 and 96,602.63

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Solution

The third proportional to 71,813.25 and 96,602.63 is: 129,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,813.25 : 96,602.63 = 96,602.63 : x
  2. Step 2: Convert to fraction form
    71,813.25/96,602.63 = 96,602.63/x
  3. Step 3: Cross multiply
    71,813.25x = 96,602.63 × 96,602.63
  4. Step 4: Simplify right side
    71,813.25x = 9,332,067,156.89
  5. Step 5: Solve for x
    x = 9,332,067,156.89/71,813.25
  6. Step 6: Final answer
    x = 129,949.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.