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Finding the Third Proportional to 107,912.25 and 170,748

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Solution

The third proportional to 107,912.25 and 170,748 is: 270,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,912.25 : 170,748 = 170,748 : x
  2. Step 2: Convert to fraction form
    107,912.25/170,748 = 170,748/x
  3. Step 3: Cross multiply
    107,912.25x = 170,748 × 170,748
  4. Step 4: Simplify right side
    107,912.25x = 29,154,879,504
  5. Step 5: Solve for x
    x = 29,154,879,504/107,912.25
  6. Step 6: Final answer
    x = 270,172.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.