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Finding the Third Proportional to 86,210 and 132,963

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Solution

The third proportional to 86,210 and 132,963 is: 205,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,210 : 132,963 = 132,963 : x
  2. Step 2: Convert to fraction form
    86,210/132,963 = 132,963/x
  3. Step 3: Cross multiply
    86,210x = 132,963 × 132,963
  4. Step 4: Simplify right side
    86,210x = 17,679,159,369
  5. Step 5: Solve for x
    x = 17,679,159,369/86,210
  6. Step 6: Final answer
    x = 205,070.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.