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Finding the Third Proportional to 77,888 and 170,192

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Solution

The third proportional to 77,888 and 170,192 is: 371,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,888 : 170,192 = 170,192 : x
  2. Step 2: Convert to fraction form
    77,888/170,192 = 170,192/x
  3. Step 3: Cross multiply
    77,888x = 170,192 × 170,192
  4. Step 4: Simplify right side
    77,888x = 28,965,316,864
  5. Step 5: Solve for x
    x = 28,965,316,864/77,888
  6. Step 6: Final answer
    x = 371,884.20

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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.