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Finding the Third Proportional to 97,196 and 149,932

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Solution

The third proportional to 97,196 and 149,932 is: 231,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,196 : 149,932 = 149,932 : x
  2. Step 2: Convert to fraction form
    97,196/149,932 = 149,932/x
  3. Step 3: Cross multiply
    97,196x = 149,932 × 149,932
  4. Step 4: Simplify right side
    97,196x = 22,479,604,624
  5. Step 5: Solve for x
    x = 22,479,604,624/97,196
  6. Step 6: Final answer
    x = 231,281.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.