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Finding the Third Proportional to 114,377 and 173,510

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Solution

The third proportional to 114,377 and 173,510 is: 263,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,377 : 173,510 = 173,510 : x
  2. Step 2: Convert to fraction form
    114,377/173,510 = 173,510/x
  3. Step 3: Cross multiply
    114,377x = 173,510 × 173,510
  4. Step 4: Simplify right side
    114,377x = 30,105,720,100
  5. Step 5: Solve for x
    x = 30,105,720,100/114,377
  6. Step 6: Final answer
    x = 263,214.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.