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Finding the Third Proportional to 126,802.50 and 202,199

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Solution

The third proportional to 126,802.50 and 202,199 is: 322,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,802.50 : 202,199 = 202,199 : x
  2. Step 2: Convert to fraction form
    126,802.50/202,199 = 202,199/x
  3. Step 3: Cross multiply
    126,802.50x = 202,199 × 202,199
  4. Step 4: Simplify right side
    126,802.50x = 40,884,435,601
  5. Step 5: Solve for x
    x = 40,884,435,601/126,802.50
  6. Step 6: Final answer
    x = 322,426.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.