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Finding the Third Proportional to 60,972 and 93,836

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Solution

The third proportional to 60,972 and 93,836 is: 144,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,972 : 93,836 = 93,836 : x
  2. Step 2: Convert to fraction form
    60,972/93,836 = 93,836/x
  3. Step 3: Cross multiply
    60,972x = 93,836 × 93,836
  4. Step 4: Simplify right side
    60,972x = 8,805,194,896
  5. Step 5: Solve for x
    x = 8,805,194,896/60,972
  6. Step 6: Final answer
    x = 144,413.75

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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.