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Finding the Third Proportional to 75,820.50 and 115,566.75

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Solution

The third proportional to 75,820.50 and 115,566.75 is: 176,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,820.50 : 115,566.75 = 115,566.75 : x
  2. Step 2: Convert to fraction form
    75,820.50/115,566.75 = 115,566.75/x
  3. Step 3: Cross multiply
    75,820.50x = 115,566.75 × 115,566.75
  4. Step 4: Simplify right side
    75,820.50x = 13,355,673,705.56
  5. Step 5: Solve for x
    x = 13,355,673,705.56/75,820.50
  6. Step 6: Final answer
    x = 176,148.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.