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Finding the Third Proportional to 48,205 and 74,140

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Solution

The third proportional to 48,205 and 74,140 is: 114,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205 : 74,140 = 74,140 : x
  2. Step 2: Convert to fraction form
    48,205/74,140 = 74,140/x
  3. Step 3: Cross multiply
    48,205x = 74,140 × 74,140
  4. Step 4: Simplify right side
    48,205x = 5,496,739,600
  5. Step 5: Solve for x
    x = 5,496,739,600/48,205
  6. Step 6: Final answer
    x = 114,028.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.