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Finding the Third Proportional to 61,118.30 and 97,251.26

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Solution

The third proportional to 61,118.30 and 97,251.26 is: 154,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,118.30 : 97,251.26 = 97,251.26 : x
  2. Step 2: Convert to fraction form
    61,118.30/97,251.26 = 97,251.26/x
  3. Step 3: Cross multiply
    61,118.30x = 97,251.26 × 97,251.26
  4. Step 4: Simplify right side
    61,118.30x = 9,457,807,146.11
  5. Step 5: Solve for x
    x = 9,457,807,146.11/61,118.30
  6. Step 6: Final answer
    x = 154,745.92

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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.