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Finding the Third Proportional to 76,938.93 and 115,100.84

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Solution

The third proportional to 76,938.93 and 115,100.84 is: 172,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,938.93 : 115,100.84 = 115,100.84 : x
  2. Step 2: Convert to fraction form
    76,938.93/115,100.84 = 115,100.84/x
  3. Step 3: Cross multiply
    76,938.93x = 115,100.84 × 115,100.84
  4. Step 4: Simplify right side
    76,938.93x = 13,248,203,782.35
  5. Step 5: Solve for x
    x = 13,248,203,782.35/76,938.93
  6. Step 6: Final answer
    x = 172,191.17

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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.