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Finding the Third Proportional to 69,480 and 152,032

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Solution

The third proportional to 69,480 and 152,032 is: 332,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,480 : 152,032 = 152,032 : x
  2. Step 2: Convert to fraction form
    69,480/152,032 = 152,032/x
  3. Step 3: Cross multiply
    69,480x = 152,032 × 152,032
  4. Step 4: Simplify right side
    69,480x = 23,113,729,024
  5. Step 5: Solve for x
    x = 23,113,729,024/69,480
  6. Step 6: Final answer
    x = 332,667.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.