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Finding the Third Proportional to 86,464 and 132,320

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Solution

The third proportional to 86,464 and 132,320 is: 202,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,464 : 132,320 = 132,320 : x
  2. Step 2: Convert to fraction form
    86,464/132,320 = 132,320/x
  3. Step 3: Cross multiply
    86,464x = 132,320 × 132,320
  4. Step 4: Simplify right side
    86,464x = 17,508,582,400
  5. Step 5: Solve for x
    x = 17,508,582,400/86,464
  6. Step 6: Final answer
    x = 202,495.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.