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Finding the Third Proportional to 97,119 and 131,209.88

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Solution

The third proportional to 97,119 and 131,209.88 is: 177,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,119 : 131,209.88 = 131,209.88 : x
  2. Step 2: Convert to fraction form
    97,119/131,209.88 = 131,209.88/x
  3. Step 3: Cross multiply
    97,119x = 131,209.88 × 131,209.88
  4. Step 4: Simplify right side
    97,119x = 17,216,031,297.52
  5. Step 5: Solve for x
    x = 17,216,031,297.52/97,119
  6. Step 6: Final answer
    x = 177,267.39

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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.