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Finding the Third Proportional to 92,772 and 134,013

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Solution

The third proportional to 92,772 and 134,013 is: 193,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,772 : 134,013 = 134,013 : x
  2. Step 2: Convert to fraction form
    92,772/134,013 = 134,013/x
  3. Step 3: Cross multiply
    92,772x = 134,013 × 134,013
  4. Step 4: Simplify right side
    92,772x = 17,959,484,169
  5. Step 5: Solve for x
    x = 17,959,484,169/92,772
  6. Step 6: Final answer
    x = 193,587.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.