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Finding the Third Proportional to 95,787 and 208,332

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Solution

The third proportional to 95,787 and 208,332 is: 453,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,787 : 208,332 = 208,332 : x
  2. Step 2: Convert to fraction form
    95,787/208,332 = 208,332/x
  3. Step 3: Cross multiply
    95,787x = 208,332 × 208,332
  4. Step 4: Simplify right side
    95,787x = 43,402,222,224
  5. Step 5: Solve for x
    x = 43,402,222,224/95,787
  6. Step 6: Final answer
    x = 453,111.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.