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Finding the Third Proportional to 83,216 and 125,888

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Solution

The third proportional to 83,216 and 125,888 is: 190,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216 : 125,888 = 125,888 : x
  2. Step 2: Convert to fraction form
    83,216/125,888 = 125,888/x
  3. Step 3: Cross multiply
    83,216x = 125,888 × 125,888
  4. Step 4: Simplify right side
    83,216x = 15,847,788,544
  5. Step 5: Solve for x
    x = 15,847,788,544/83,216
  6. Step 6: Final answer
    x = 190,441.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.