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Finding the Third Proportional to 95,009 and 200,746

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Solution

The third proportional to 95,009 and 200,746 is: 424,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,009 : 200,746 = 200,746 : x
  2. Step 2: Convert to fraction form
    95,009/200,746 = 200,746/x
  3. Step 3: Cross multiply
    95,009x = 200,746 × 200,746
  4. Step 4: Simplify right side
    95,009x = 40,298,956,516
  5. Step 5: Solve for x
    x = 40,298,956,516/95,009
  6. Step 6: Final answer
    x = 424,159.36

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.