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Finding the Third Proportional to 71,566.03 and 97,194.28

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Solution

The third proportional to 71,566.03 and 97,194.28 is: 132,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566.03 : 97,194.28 = 97,194.28 : x
  2. Step 2: Convert to fraction form
    71,566.03/97,194.28 = 97,194.28/x
  3. Step 3: Cross multiply
    71,566.03x = 97,194.28 × 97,194.28
  4. Step 4: Simplify right side
    71,566.03x = 9,446,728,307.70
  5. Step 5: Solve for x
    x = 9,446,728,307.70/71,566.03
  6. Step 6: Final answer
    x = 132,000.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.