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Finding the Third Proportional to 64,486 and 142,048

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Solution

The third proportional to 64,486 and 142,048 is: 312,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,486 : 142,048 = 142,048 : x
  2. Step 2: Convert to fraction form
    64,486/142,048 = 142,048/x
  3. Step 3: Cross multiply
    64,486x = 142,048 × 142,048
  4. Step 4: Simplify right side
    64,486x = 20,177,634,304
  5. Step 5: Solve for x
    x = 20,177,634,304/64,486
  6. Step 6: Final answer
    x = 312,899.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.