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Finding the Third Proportional to 84,543.75 and 129,994.88

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Solution

The third proportional to 84,543.75 and 129,994.88 is: 199,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,543.75 : 129,994.88 = 129,994.88 : x
  2. Step 2: Convert to fraction form
    84,543.75/129,994.88 = 129,994.88/x
  3. Step 3: Cross multiply
    84,543.75x = 129,994.88 × 129,994.88
  4. Step 4: Simplify right side
    84,543.75x = 16,898,667,526.27
  5. Step 5: Solve for x
    x = 16,898,667,526.27/84,543.75
  6. Step 6: Final answer
    x = 199,880.74

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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.