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Finding the Third Proportional to 92,088.50 and 129,982

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Solution

The third proportional to 92,088.50 and 129,982 is: 183,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,088.50 : 129,982 = 129,982 : x
  2. Step 2: Convert to fraction form
    92,088.50/129,982 = 129,982/x
  3. Step 3: Cross multiply
    92,088.50x = 129,982 × 129,982
  4. Step 4: Simplify right side
    92,088.50x = 16,895,320,324
  5. Step 5: Solve for x
    x = 16,895,320,324/92,088.50
  6. Step 6: Final answer
    x = 183,468.30

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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.