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Finding the Third Proportional to 97,103.50 and 131,194.50

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Solution

The third proportional to 97,103.50 and 131,194.50 is: 177,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,103.50 : 131,194.50 = 131,194.50 : x
  2. Step 2: Convert to fraction form
    97,103.50/131,194.50 = 131,194.50/x
  3. Step 3: Cross multiply
    97,103.50x = 131,194.50 × 131,194.50
  4. Step 4: Simplify right side
    97,103.50x = 17,211,996,830.25
  5. Step 5: Solve for x
    x = 17,211,996,830.25/97,103.50
  6. Step 6: Final answer
    x = 177,254.13

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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.