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Finding the Third Proportional to 75,024.50 and 115,657

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Solution

The third proportional to 75,024.50 and 115,657 is: 178,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024.50 : 115,657 = 115,657 : x
  2. Step 2: Convert to fraction form
    75,024.50/115,657 = 115,657/x
  3. Step 3: Cross multiply
    75,024.50x = 115,657 × 115,657
  4. Step 4: Simplify right side
    75,024.50x = 13,376,541,649
  5. Step 5: Solve for x
    x = 13,376,541,649/75,024.50
  6. Step 6: Final answer
    x = 178,295.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.