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Finding the Third Proportional to 96,860 and 145,389

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Solution

The third proportional to 96,860 and 145,389 is: 218,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,860 : 145,389 = 145,389 : x
  2. Step 2: Convert to fraction form
    96,860/145,389 = 145,389/x
  3. Step 3: Cross multiply
    96,860x = 145,389 × 145,389
  4. Step 4: Simplify right side
    96,860x = 21,137,961,321
  5. Step 5: Solve for x
    x = 21,137,961,321/96,860
  6. Step 6: Final answer
    x = 218,232.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.