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Finding the Third Proportional to 71,567.53 and 97,196.53

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Solution

The third proportional to 71,567.53 and 97,196.53 is: 132,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,567.53 : 97,196.53 = 97,196.53 : x
  2. Step 2: Convert to fraction form
    71,567.53/97,196.53 = 97,196.53/x
  3. Step 3: Cross multiply
    71,567.53x = 97,196.53 × 97,196.53
  4. Step 4: Simplify right side
    71,567.53x = 9,447,165,687.03
  5. Step 5: Solve for x
    x = 9,447,165,687.03/71,567.53
  6. Step 6: Final answer
    x = 132,003.52

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