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Finding the Third Proportional to 75,688 and 113,532

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Solution

The third proportional to 75,688 and 113,532 is: 170,298

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,688 : 113,532 = 113,532 : x
  2. Step 2: Convert to fraction form
    75,688/113,532 = 113,532/x
  3. Step 3: Cross multiply
    75,688x = 113,532 × 113,532
  4. Step 4: Simplify right side
    75,688x = 12,889,515,024
  5. Step 5: Solve for x
    x = 12,889,515,024/75,688
  6. Step 6: Final answer
    x = 170,298

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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.