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Finding the Third Proportional to 76,596 and 114,432

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Solution

The third proportional to 76,596 and 114,432 is: 170,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596 : 114,432 = 114,432 : x
  2. Step 2: Convert to fraction form
    76,596/114,432 = 114,432/x
  3. Step 3: Cross multiply
    76,596x = 114,432 × 114,432
  4. Step 4: Simplify right side
    76,596x = 13,094,682,624
  5. Step 5: Solve for x
    x = 13,094,682,624/76,596
  6. Step 6: Final answer
    x = 170,957.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.