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Finding the Third Proportional to 97,101 and 131,190.75

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Solution

The third proportional to 97,101 and 131,190.75 is: 177,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,101 : 131,190.75 = 131,190.75 : x
  2. Step 2: Convert to fraction form
    97,101/131,190.75 = 131,190.75/x
  3. Step 3: Cross multiply
    97,101x = 131,190.75 × 131,190.75
  4. Step 4: Simplify right side
    97,101x = 17,211,012,885.56
  5. Step 5: Solve for x
    x = 17,211,012,885.56/97,101
  6. Step 6: Final answer
    x = 177,248.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.