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Finding the Third Proportional to 49,101.19 and 92,043.84

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Solution

The third proportional to 49,101.19 and 92,043.84 is: 172,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101.19 : 92,043.84 = 92,043.84 : x
  2. Step 2: Convert to fraction form
    49,101.19/92,043.84 = 92,043.84/x
  3. Step 3: Cross multiply
    49,101.19x = 92,043.84 × 92,043.84
  4. Step 4: Simplify right side
    49,101.19x = 8,472,069,172.27
  5. Step 5: Solve for x
    x = 8,472,069,172.27/49,101.19
  6. Step 6: Final answer
    x = 172,543.06

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.