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Finding the Third Proportional to 63,520 and 143,224

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Solution

The third proportional to 63,520 and 143,224 is: 322,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,520 : 143,224 = 143,224 : x
  2. Step 2: Convert to fraction form
    63,520/143,224 = 143,224/x
  3. Step 3: Cross multiply
    63,520x = 143,224 × 143,224
  4. Step 4: Simplify right side
    63,520x = 20,513,114,176
  5. Step 5: Solve for x
    x = 20,513,114,176/63,520
  6. Step 6: Final answer
    x = 322,939.45

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.