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Finding the Third Proportional to 97,109 and 131,202

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Solution

The third proportional to 97,109 and 131,202 is: 177,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,109 : 131,202 = 131,202 : x
  2. Step 2: Convert to fraction form
    97,109/131,202 = 131,202/x
  3. Step 3: Cross multiply
    97,109x = 131,202 × 131,202
  4. Step 4: Simplify right side
    97,109x = 17,213,964,804
  5. Step 5: Solve for x
    x = 17,213,964,804/97,109
  6. Step 6: Final answer
    x = 177,264.36

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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.