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Finding the Third Proportional to 56,998.69 and 85,528.41

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Solution

The third proportional to 56,998.69 and 85,528.41 is: 128,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.69 : 85,528.41 = 85,528.41 : x
  2. Step 2: Convert to fraction form
    56,998.69/85,528.41 = 85,528.41/x
  3. Step 3: Cross multiply
    56,998.69x = 85,528.41 × 85,528.41
  4. Step 4: Simplify right side
    56,998.69x = 7,315,108,275.67
  5. Step 5: Solve for x
    x = 7,315,108,275.67/56,998.69
  6. Step 6: Final answer
    x = 128,338.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.