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Finding the Third Proportional to 70,652.25 and 97,230.38

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Solution

The third proportional to 70,652.25 and 97,230.38 is: 133,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652.25 : 97,230.38 = 97,230.38 : x
  2. Step 2: Convert to fraction form
    70,652.25/97,230.38 = 97,230.38/x
  3. Step 3: Cross multiply
    70,652.25x = 97,230.38 × 97,230.38
  4. Step 4: Simplify right side
    70,652.25x = 9,453,745,822.64
  5. Step 5: Solve for x
    x = 9,453,745,822.64/70,652.25
  6. Step 6: Final answer
    x = 133,806.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.