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Finding the Third Proportional to 68,510.53 and 149,471.16

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Solution

The third proportional to 68,510.53 and 149,471.16 is: 326,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,510.53 : 149,471.16 = 149,471.16 : x
  2. Step 2: Convert to fraction form
    68,510.53/149,471.16 = 149,471.16/x
  3. Step 3: Cross multiply
    68,510.53x = 149,471.16 × 149,471.16
  4. Step 4: Simplify right side
    68,510.53x = 22,341,626,550.71
  5. Step 5: Solve for x
    x = 22,341,626,550.71/68,510.53
  6. Step 6: Final answer
    x = 326,105.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.