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Finding the Third Proportional to 32,048 and 70,127

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Solution

The third proportional to 32,048 and 70,127 is: 153,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048 : 70,127 = 70,127 : x
  2. Step 2: Convert to fraction form
    32,048/70,127 = 70,127/x
  3. Step 3: Cross multiply
    32,048x = 70,127 × 70,127
  4. Step 4: Simplify right side
    32,048x = 4,917,796,129
  5. Step 5: Solve for x
    x = 4,917,796,129/32,048
  6. Step 6: Final answer
    x = 153,450.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.