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Finding the Third Proportional to 76,043.81 and 118,363.78

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Solution

The third proportional to 76,043.81 and 118,363.78 is: 184,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,043.81 : 118,363.78 = 118,363.78 : x
  2. Step 2: Convert to fraction form
    76,043.81/118,363.78 = 118,363.78/x
  3. Step 3: Cross multiply
    76,043.81x = 118,363.78 × 118,363.78
  4. Step 4: Simplify right side
    76,043.81x = 14,009,984,711.80
  5. Step 5: Solve for x
    x = 14,009,984,711.80/76,043.81
  6. Step 6: Final answer
    x = 184,235.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.