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Finding the Third Proportional to 60,236 and 93,692

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Solution

The third proportional to 60,236 and 93,692 is: 145,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,236 : 93,692 = 93,692 : x
  2. Step 2: Convert to fraction form
    60,236/93,692 = 93,692/x
  3. Step 3: Cross multiply
    60,236x = 93,692 × 93,692
  4. Step 4: Simplify right side
    60,236x = 8,778,190,864
  5. Step 5: Solve for x
    x = 8,778,190,864/60,236
  6. Step 6: Final answer
    x = 145,729.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.