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Finding the Third Proportional to 84,722 and 112,946

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Solution

The third proportional to 84,722 and 112,946 is: 150,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,722 : 112,946 = 112,946 : x
  2. Step 2: Convert to fraction form
    84,722/112,946 = 112,946/x
  3. Step 3: Cross multiply
    84,722x = 112,946 × 112,946
  4. Step 4: Simplify right side
    84,722x = 12,756,798,916
  5. Step 5: Solve for x
    x = 12,756,798,916/84,722
  6. Step 6: Final answer
    x = 150,572.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.