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Finding the Third Proportional to 84,166 and 129,360

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Solution

The third proportional to 84,166 and 129,360 is: 198,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,166 : 129,360 = 129,360 : x
  2. Step 2: Convert to fraction form
    84,166/129,360 = 129,360/x
  3. Step 3: Cross multiply
    84,166x = 129,360 × 129,360
  4. Step 4: Simplify right side
    84,166x = 16,734,009,600
  5. Step 5: Solve for x
    x = 16,734,009,600/84,166
  6. Step 6: Final answer
    x = 198,821.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.