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Finding the Third Proportional to 95,520 and 208,032

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Solution

The third proportional to 95,520 and 208,032 is: 453,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,520 : 208,032 = 208,032 : x
  2. Step 2: Convert to fraction form
    95,520/208,032 = 208,032/x
  3. Step 3: Cross multiply
    95,520x = 208,032 × 208,032
  4. Step 4: Simplify right side
    95,520x = 43,277,313,024
  5. Step 5: Solve for x
    x = 43,277,313,024/95,520
  6. Step 6: Final answer
    x = 453,070.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.