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Finding the Third Proportional to 62,215 and 93,832

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Solution

The third proportional to 62,215 and 93,832 is: 141,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,215 : 93,832 = 93,832 : x
  2. Step 2: Convert to fraction form
    62,215/93,832 = 93,832/x
  3. Step 3: Cross multiply
    62,215x = 93,832 × 93,832
  4. Step 4: Simplify right side
    62,215x = 8,804,444,224
  5. Step 5: Solve for x
    x = 8,804,444,224/62,215
  6. Step 6: Final answer
    x = 141,516.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.