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Finding the Third Proportional to 99,140 and 159,596

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Solution

The third proportional to 99,140 and 159,596 is: 256,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,140 : 159,596 = 159,596 : x
  2. Step 2: Convert to fraction form
    99,140/159,596 = 159,596/x
  3. Step 3: Cross multiply
    99,140x = 159,596 × 159,596
  4. Step 4: Simplify right side
    99,140x = 25,470,883,216
  5. Step 5: Solve for x
    x = 25,470,883,216/99,140
  6. Step 6: Final answer
    x = 256,918.33

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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.