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Finding the Third Proportional to 95,834 and 201,594

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Solution

The third proportional to 95,834 and 201,594 is: 424,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,834 : 201,594 = 201,594 : x
  2. Step 2: Convert to fraction form
    95,834/201,594 = 201,594/x
  3. Step 3: Cross multiply
    95,834x = 201,594 × 201,594
  4. Step 4: Simplify right side
    95,834x = 40,640,140,836
  5. Step 5: Solve for x
    x = 40,640,140,836/95,834
  6. Step 6: Final answer
    x = 424,068.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.