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Finding the Third Proportional to 75,816 and 115,560

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Solution

The third proportional to 75,816 and 115,560 is: 176,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,816 : 115,560 = 115,560 : x
  2. Step 2: Convert to fraction form
    75,816/115,560 = 115,560/x
  3. Step 3: Cross multiply
    75,816x = 115,560 × 115,560
  4. Step 4: Simplify right side
    75,816x = 13,354,113,600
  5. Step 5: Solve for x
    x = 13,354,113,600/75,816
  6. Step 6: Final answer
    x = 176,138.46

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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.