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Finding the Third Proportional to 102,396 and 160,283

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Solution

The third proportional to 102,396 and 160,283 is: 250,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,396 : 160,283 = 160,283 : x
  2. Step 2: Convert to fraction form
    102,396/160,283 = 160,283/x
  3. Step 3: Cross multiply
    102,396x = 160,283 × 160,283
  4. Step 4: Simplify right side
    102,396x = 25,690,640,089
  5. Step 5: Solve for x
    x = 25,690,640,089/102,396
  6. Step 6: Final answer
    x = 250,894.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.