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Finding the Third Proportional to 108,056.43 and 173,617.70

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Solution

The third proportional to 108,056.43 and 173,617.70 is: 278,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,056.43 : 173,617.70 = 173,617.70 : x
  2. Step 2: Convert to fraction form
    108,056.43/173,617.70 = 173,617.70/x
  3. Step 3: Cross multiply
    108,056.43x = 173,617.70 × 173,617.70
  4. Step 4: Simplify right side
    108,056.43x = 30,143,105,482.01
  5. Step 5: Solve for x
    x = 30,143,105,482.01/108,056.43
  6. Step 6: Final answer
    x = 278,957.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.