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Finding the Third Proportional to 66,052 and 143,768

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Solution

The third proportional to 66,052 and 143,768 is: 312,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,052 : 143,768 = 143,768 : x
  2. Step 2: Convert to fraction form
    66,052/143,768 = 143,768/x
  3. Step 3: Cross multiply
    66,052x = 143,768 × 143,768
  4. Step 4: Simplify right side
    66,052x = 20,669,237,824
  5. Step 5: Solve for x
    x = 20,669,237,824/66,052
  6. Step 6: Final answer
    x = 312,923.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.