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Finding the Third Proportional to 66,232 and 143,752

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Solution

The third proportional to 66,232 and 143,752 is: 312,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,232 : 143,752 = 143,752 : x
  2. Step 2: Convert to fraction form
    66,232/143,752 = 143,752/x
  3. Step 3: Cross multiply
    66,232x = 143,752 × 143,752
  4. Step 4: Simplify right side
    66,232x = 20,664,637,504
  5. Step 5: Solve for x
    x = 20,664,637,504/66,232
  6. Step 6: Final answer
    x = 312,003.83

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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.