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Finding the Third Proportional to 49,235.03 and 78,158.67

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Solution

The third proportional to 49,235.03 and 78,158.67 is: 124,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235.03 : 78,158.67 = 78,158.67 : x
  2. Step 2: Convert to fraction form
    49,235.03/78,158.67 = 78,158.67/x
  3. Step 3: Cross multiply
    49,235.03x = 78,158.67 × 78,158.67
  4. Step 4: Simplify right side
    49,235.03x = 6,108,777,989.26
  5. Step 5: Solve for x
    x = 6,108,777,989.26/49,235.03
  6. Step 6: Final answer
    x = 124,073.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.