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Finding the Third Proportional to 61,104.38 and 97,230.38

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Solution

The third proportional to 61,104.38 and 97,230.38 is: 154,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,104.38 : 97,230.38 = 97,230.38 : x
  2. Step 2: Convert to fraction form
    61,104.38/97,230.38 = 97,230.38/x
  3. Step 3: Cross multiply
    61,104.38x = 97,230.38 × 97,230.38
  4. Step 4: Simplify right side
    61,104.38x = 9,453,745,822.64
  5. Step 5: Solve for x
    x = 9,453,745,822.64/61,104.38
  6. Step 6: Final answer
    x = 154,714.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.