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Finding the Third Proportional to 60,168 and 91,036

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Solution

The third proportional to 60,168 and 91,036 is: 137,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,168 : 91,036 = 91,036 : x
  2. Step 2: Convert to fraction form
    60,168/91,036 = 91,036/x
  3. Step 3: Cross multiply
    60,168x = 91,036 × 91,036
  4. Step 4: Simplify right side
    60,168x = 8,287,553,296
  5. Step 5: Solve for x
    x = 8,287,553,296/60,168
  6. Step 6: Final answer
    x = 137,740.22

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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.