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Finding the Third Proportional to 60,832 and 89,148

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Solution

The third proportional to 60,832 and 89,148 is: 130,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,832 : 89,148 = 89,148 : x
  2. Step 2: Convert to fraction form
    60,832/89,148 = 89,148/x
  3. Step 3: Cross multiply
    60,832x = 89,148 × 89,148
  4. Step 4: Simplify right side
    60,832x = 7,947,365,904
  5. Step 5: Solve for x
    x = 7,947,365,904/60,832
  6. Step 6: Final answer
    x = 130,644.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.