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Finding the Third Proportional to 59,182.75 and 83,244.75

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Solution

The third proportional to 59,182.75 and 83,244.75 is: 117,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,182.75 : 83,244.75 = 83,244.75 : x
  2. Step 2: Convert to fraction form
    59,182.75/83,244.75 = 83,244.75/x
  3. Step 3: Cross multiply
    59,182.75x = 83,244.75 × 83,244.75
  4. Step 4: Simplify right side
    59,182.75x = 6,929,688,402.56
  5. Step 5: Solve for x
    x = 6,929,688,402.56/59,182.75
  6. Step 6: Final answer
    x = 117,089.67

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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.