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Finding the Third Proportional to 92,022 and 129,553

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Solution

The third proportional to 92,022 and 129,553 is: 182,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,022 : 129,553 = 129,553 : x
  2. Step 2: Convert to fraction form
    92,022/129,553 = 129,553/x
  3. Step 3: Cross multiply
    92,022x = 129,553 × 129,553
  4. Step 4: Simplify right side
    92,022x = 16,783,979,809
  5. Step 5: Solve for x
    x = 16,783,979,809/92,022
  6. Step 6: Final answer
    x = 182,390.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.