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Finding the Third Proportional to 98,995 and 159,389

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Solution

The third proportional to 98,995 and 159,389 is: 256,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,995 : 159,389 = 159,389 : x
  2. Step 2: Convert to fraction form
    98,995/159,389 = 159,389/x
  3. Step 3: Cross multiply
    98,995x = 159,389 × 159,389
  4. Step 4: Simplify right side
    98,995x = 25,404,853,321
  5. Step 5: Solve for x
    x = 25,404,853,321/98,995
  6. Step 6: Final answer
    x = 256,627.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.