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Finding the Third Proportional to 65,802.38 and 97,245.56

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Solution

The third proportional to 65,802.38 and 97,245.56 is: 143,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802.38 : 97,245.56 = 97,245.56 : x
  2. Step 2: Convert to fraction form
    65,802.38/97,245.56 = 97,245.56/x
  3. Step 3: Cross multiply
    65,802.38x = 97,245.56 × 97,245.56
  4. Step 4: Simplify right side
    65,802.38x = 9,456,699,425.94
  5. Step 5: Solve for x
    x = 9,456,699,425.94/65,802.38
  6. Step 6: Final answer
    x = 143,713.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.