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Finding the Third Proportional to 77,310 and 169,380

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Solution

The third proportional to 77,310 and 169,380 is: 371,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,310 : 169,380 = 169,380 : x
  2. Step 2: Convert to fraction form
    77,310/169,380 = 169,380/x
  3. Step 3: Cross multiply
    77,310x = 169,380 × 169,380
  4. Step 4: Simplify right side
    77,310x = 28,689,584,400
  5. Step 5: Solve for x
    x = 28,689,584,400/77,310
  6. Step 6: Final answer
    x = 371,097.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.