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Finding the Third Proportional to 71,521.73 and 97,136.40

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Solution

The third proportional to 71,521.73 and 97,136.40 is: 131,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,521.73 : 97,136.40 = 97,136.40 : x
  2. Step 2: Convert to fraction form
    71,521.73/97,136.40 = 97,136.40/x
  3. Step 3: Cross multiply
    71,521.73x = 97,136.40 × 97,136.40
  4. Step 4: Simplify right side
    71,521.73x = 9,435,480,660.29
  5. Step 5: Solve for x
    x = 9,435,480,660.29/71,521.73
  6. Step 6: Final answer
    x = 131,924.66

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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.