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Finding the Third Proportional to 72,762 and 159,048

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Solution

The third proportional to 72,762 and 159,048 is: 347,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,762 : 159,048 = 159,048 : x
  2. Step 2: Convert to fraction form
    72,762/159,048 = 159,048/x
  3. Step 3: Cross multiply
    72,762x = 159,048 × 159,048
  4. Step 4: Simplify right side
    72,762x = 25,296,266,304
  5. Step 5: Solve for x
    x = 25,296,266,304/72,762
  6. Step 6: Final answer
    x = 347,657.66

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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.