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Finding the Third Proportional to 91,257 and 186,888

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Solution

The third proportional to 91,257 and 186,888 is: 382,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,257 : 186,888 = 186,888 : x
  2. Step 2: Convert to fraction form
    91,257/186,888 = 186,888/x
  3. Step 3: Cross multiply
    91,257x = 186,888 × 186,888
  4. Step 4: Simplify right side
    91,257x = 34,927,124,544
  5. Step 5: Solve for x
    x = 34,927,124,544/91,257
  6. Step 6: Final answer
    x = 382,733.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.