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Finding the Third Proportional to 78,146 and 169,252

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Solution

The third proportional to 78,146 and 169,252 is: 366,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,146 : 169,252 = 169,252 : x
  2. Step 2: Convert to fraction form
    78,146/169,252 = 169,252/x
  3. Step 3: Cross multiply
    78,146x = 169,252 × 169,252
  4. Step 4: Simplify right side
    78,146x = 28,646,239,504
  5. Step 5: Solve for x
    x = 28,646,239,504/78,146
  6. Step 6: Final answer
    x = 366,573.33

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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.