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Finding the Third Proportional to 98,507.25 and 156,007.69

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Solution

The third proportional to 98,507.25 and 156,007.69 is: 247,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,507.25 : 156,007.69 = 156,007.69 : x
  2. Step 2: Convert to fraction form
    98,507.25/156,007.69 = 156,007.69/x
  3. Step 3: Cross multiply
    98,507.25x = 156,007.69 × 156,007.69
  4. Step 4: Simplify right side
    98,507.25x = 24,338,398,559.10
  5. Step 5: Solve for x
    x = 24,338,398,559.10/98,507.25
  6. Step 6: Final answer
    x = 247,072.16

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