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Finding the Third Proportional to 48,175 and 74,141

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Solution

The third proportional to 48,175 and 74,141 is: 114,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,175 : 74,141 = 74,141 : x
  2. Step 2: Convert to fraction form
    48,175/74,141 = 74,141/x
  3. Step 3: Cross multiply
    48,175x = 74,141 × 74,141
  4. Step 4: Simplify right side
    48,175x = 5,496,887,881
  5. Step 5: Solve for x
    x = 5,496,887,881/48,175
  6. Step 6: Final answer
    x = 114,102.50

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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.