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Finding the Third Proportional to 103,363.50 and 146,295

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Solution

The third proportional to 103,363.50 and 146,295 is: 207,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,363.50 : 146,295 = 146,295 : x
  2. Step 2: Convert to fraction form
    103,363.50/146,295 = 146,295/x
  3. Step 3: Cross multiply
    103,363.50x = 146,295 × 146,295
  4. Step 4: Simplify right side
    103,363.50x = 21,402,227,025
  5. Step 5: Solve for x
    x = 21,402,227,025/103,363.50
  6. Step 6: Final answer
    x = 207,057.88

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.