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Finding the Third Proportional to 64,519.50 and 134,952

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Solution

The third proportional to 64,519.50 and 134,952 is: 282,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,519.50 : 134,952 = 134,952 : x
  2. Step 2: Convert to fraction form
    64,519.50/134,952 = 134,952/x
  3. Step 3: Cross multiply
    64,519.50x = 134,952 × 134,952
  4. Step 4: Simplify right side
    64,519.50x = 18,212,042,304
  5. Step 5: Solve for x
    x = 18,212,042,304/64,519.50
  6. Step 6: Final answer
    x = 282,271.91

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.