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Finding the Third Proportional to 76,946.20 and 115,110.49

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Solution

The third proportional to 76,946.20 and 115,110.49 is: 172,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,946.20 : 115,110.49 = 115,110.49 : x
  2. Step 2: Convert to fraction form
    76,946.20/115,110.49 = 115,110.49/x
  3. Step 3: Cross multiply
    76,946.20x = 115,110.49 × 115,110.49
  4. Step 4: Simplify right side
    76,946.20x = 13,250,425,411.65
  5. Step 5: Solve for x
    x = 13,250,425,411.65/76,946.20
  6. Step 6: Final answer
    x = 172,203.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.