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Finding the Third Proportional to 88,168.50 and 126,033

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Solution

The third proportional to 88,168.50 and 126,033 is: 180,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,168.50 : 126,033 = 126,033 : x
  2. Step 2: Convert to fraction form
    88,168.50/126,033 = 126,033/x
  3. Step 3: Cross multiply
    88,168.50x = 126,033 × 126,033
  4. Step 4: Simplify right side
    88,168.50x = 15,884,317,089
  5. Step 5: Solve for x
    x = 15,884,317,089/88,168.50
  6. Step 6: Final answer
    x = 180,158.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.