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Finding the Third Proportional to 66,399.50 and 143,862

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Solution

The third proportional to 66,399.50 and 143,862 is: 311,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,399.50 : 143,862 = 143,862 : x
  2. Step 2: Convert to fraction form
    66,399.50/143,862 = 143,862/x
  3. Step 3: Cross multiply
    66,399.50x = 143,862 × 143,862
  4. Step 4: Simplify right side
    66,399.50x = 20,696,275,044
  5. Step 5: Solve for x
    x = 20,696,275,044/66,399.50
  6. Step 6: Final answer
    x = 311,693.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.