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Finding the Third Proportional to 55,221 and 73,572

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Solution

The third proportional to 55,221 and 73,572 is: 98,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,221 : 73,572 = 73,572 : x
  2. Step 2: Convert to fraction form
    55,221/73,572 = 73,572/x
  3. Step 3: Cross multiply
    55,221x = 73,572 × 73,572
  4. Step 4: Simplify right side
    55,221x = 5,412,839,184
  5. Step 5: Solve for x
    x = 5,412,839,184/55,221
  6. Step 6: Final answer
    x = 98,021.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.