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Finding the Third Proportional to 106,057.50 and 148,353

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Solution

The third proportional to 106,057.50 and 148,353 is: 207,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,057.50 : 148,353 = 148,353 : x
  2. Step 2: Convert to fraction form
    106,057.50/148,353 = 148,353/x
  3. Step 3: Cross multiply
    106,057.50x = 148,353 × 148,353
  4. Step 4: Simplify right side
    106,057.50x = 22,008,612,609
  5. Step 5: Solve for x
    x = 22,008,612,609/106,057.50
  6. Step 6: Final answer
    x = 207,515.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.