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Finding the Third Proportional to 83,044 and 128,942

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Solution

The third proportional to 83,044 and 128,942 is: 200,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044 : 128,942 = 128,942 : x
  2. Step 2: Convert to fraction form
    83,044/128,942 = 128,942/x
  3. Step 3: Cross multiply
    83,044x = 128,942 × 128,942
  4. Step 4: Simplify right side
    83,044x = 16,626,039,364
  5. Step 5: Solve for x
    x = 16,626,039,364/83,044
  6. Step 6: Final answer
    x = 200,207.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.