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Finding the Third Proportional to 83,460 and 125,932.50

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Solution

The third proportional to 83,460 and 125,932.50 is: 190,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,460 : 125,932.50 = 125,932.50 : x
  2. Step 2: Convert to fraction form
    83,460/125,932.50 = 125,932.50/x
  3. Step 3: Cross multiply
    83,460x = 125,932.50 × 125,932.50
  4. Step 4: Simplify right side
    83,460x = 15,858,994,556.25
  5. Step 5: Solve for x
    x = 15,858,994,556.25/83,460
  6. Step 6: Final answer
    x = 190,019.11

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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.