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Finding the Third Proportional to 55,212 and 73,560

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Solution

The third proportional to 55,212 and 73,560 is: 98,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,212 : 73,560 = 73,560 : x
  2. Step 2: Convert to fraction form
    55,212/73,560 = 73,560/x
  3. Step 3: Cross multiply
    55,212x = 73,560 × 73,560
  4. Step 4: Simplify right side
    55,212x = 5,411,073,600
  5. Step 5: Solve for x
    x = 5,411,073,600/55,212
  6. Step 6: Final answer
    x = 98,005.39

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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.