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Finding the Third Proportional to 92,025 and 129,559.50

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Solution

The third proportional to 92,025 and 129,559.50 is: 182,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,025 : 129,559.50 = 129,559.50 : x
  2. Step 2: Convert to fraction form
    92,025/129,559.50 = 129,559.50/x
  3. Step 3: Cross multiply
    92,025x = 129,559.50 × 129,559.50
  4. Step 4: Simplify right side
    92,025x = 16,785,664,040.25
  5. Step 5: Solve for x
    x = 16,785,664,040.25/92,025
  6. Step 6: Final answer
    x = 182,403.30

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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.