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Finding the Third Proportional to 98,716 and 158,973

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Solution

The third proportional to 98,716 and 158,973 is: 256,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,716 : 158,973 = 158,973 : x
  2. Step 2: Convert to fraction form
    98,716/158,973 = 158,973/x
  3. Step 3: Cross multiply
    98,716x = 158,973 × 158,973
  4. Step 4: Simplify right side
    98,716x = 25,272,414,729
  5. Step 5: Solve for x
    x = 25,272,414,729/98,716
  6. Step 6: Final answer
    x = 256,011.33

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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.