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Finding the Third Proportional to 86,382 and 133,263

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Solution

The third proportional to 86,382 and 133,263 is: 205,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,382 : 133,263 = 133,263 : x
  2. Step 2: Convert to fraction form
    86,382/133,263 = 133,263/x
  3. Step 3: Cross multiply
    86,382x = 133,263 × 133,263
  4. Step 4: Simplify right side
    86,382x = 17,759,027,169
  5. Step 5: Solve for x
    x = 17,759,027,169/86,382
  6. Step 6: Final answer
    x = 205,587.13

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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.