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Finding the Third Proportional to 86,068 and 176,888

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Solution

The third proportional to 86,068 and 176,888 is: 363,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,068 : 176,888 = 176,888 : x
  2. Step 2: Convert to fraction form
    86,068/176,888 = 176,888/x
  3. Step 3: Cross multiply
    86,068x = 176,888 × 176,888
  4. Step 4: Simplify right side
    86,068x = 31,289,364,544
  5. Step 5: Solve for x
    x = 31,289,364,544/86,068
  6. Step 6: Final answer
    x = 363,542.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.