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Finding the Third Proportional to 90,684 and 142,982

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Solution

The third proportional to 90,684 and 142,982 is: 225,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,684 : 142,982 = 142,982 : x
  2. Step 2: Convert to fraction form
    90,684/142,982 = 142,982/x
  3. Step 3: Cross multiply
    90,684x = 142,982 × 142,982
  4. Step 4: Simplify right side
    90,684x = 20,443,852,324
  5. Step 5: Solve for x
    x = 20,443,852,324/90,684
  6. Step 6: Final answer
    x = 225,440.57

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.