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Finding the Third Proportional to 32,372.16 and 70,176.38

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Solution

The third proportional to 32,372.16 and 70,176.38 is: 152,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372.16 : 70,176.38 = 70,176.38 : x
  2. Step 2: Convert to fraction form
    32,372.16/70,176.38 = 70,176.38/x
  3. Step 3: Cross multiply
    32,372.16x = 70,176.38 × 70,176.38
  4. Step 4: Simplify right side
    32,372.16x = 4,924,723,608.14
  5. Step 5: Solve for x
    x = 4,924,723,608.14/32,372.16
  6. Step 6: Final answer
    x = 152,128.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.