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Finding the Third Proportional to 72,228 and 105,048

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Solution

The third proportional to 72,228 and 105,048 is: 152,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,228 : 105,048 = 105,048 : x
  2. Step 2: Convert to fraction form
    72,228/105,048 = 105,048/x
  3. Step 3: Cross multiply
    72,228x = 105,048 × 105,048
  4. Step 4: Simplify right side
    72,228x = 11,035,082,304
  5. Step 5: Solve for x
    x = 11,035,082,304/72,228
  6. Step 6: Final answer
    x = 152,781.22

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.