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Finding the Third Proportional to 86,283 and 176,748

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Solution

The third proportional to 86,283 and 176,748 is: 362,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,283 : 176,748 = 176,748 : x
  2. Step 2: Convert to fraction form
    86,283/176,748 = 176,748/x
  3. Step 3: Cross multiply
    86,283x = 176,748 × 176,748
  4. Step 4: Simplify right side
    86,283x = 31,239,855,504
  5. Step 5: Solve for x
    x = 31,239,855,504/86,283
  6. Step 6: Final answer
    x = 362,062.69

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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.