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Finding the Third Proportional to 78,096 and 169,332

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Solution

The third proportional to 78,096 and 169,332 is: 367,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096 : 169,332 = 169,332 : x
  2. Step 2: Convert to fraction form
    78,096/169,332 = 169,332/x
  3. Step 3: Cross multiply
    78,096x = 169,332 × 169,332
  4. Step 4: Simplify right side
    78,096x = 28,673,326,224
  5. Step 5: Solve for x
    x = 28,673,326,224/78,096
  6. Step 6: Final answer
    x = 367,154.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.