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Finding the Third Proportional to 49,040 and 75,140

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Solution

The third proportional to 49,040 and 75,140 is: 115,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,040 : 75,140 = 75,140 : x
  2. Step 2: Convert to fraction form
    49,040/75,140 = 75,140/x
  3. Step 3: Cross multiply
    49,040x = 75,140 × 75,140
  4. Step 4: Simplify right side
    49,040x = 5,646,019,600
  5. Step 5: Solve for x
    x = 5,646,019,600/49,040
  6. Step 6: Final answer
    x = 115,130.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.