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Finding the Third Proportional to 72,640 and 100,032

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Solution

The third proportional to 72,640 and 100,032 is: 137,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,640 : 100,032 = 100,032 : x
  2. Step 2: Convert to fraction form
    72,640/100,032 = 100,032/x
  3. Step 3: Cross multiply
    72,640x = 100,032 × 100,032
  4. Step 4: Simplify right side
    72,640x = 10,006,401,024
  5. Step 5: Solve for x
    x = 10,006,401,024/72,640
  6. Step 6: Final answer
    x = 137,753.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.