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Finding the Third Proportional to 54,487 and 73,222

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Solution

The third proportional to 54,487 and 73,222 is: 98,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,487 : 73,222 = 73,222 : x
  2. Step 2: Convert to fraction form
    54,487/73,222 = 73,222/x
  3. Step 3: Cross multiply
    54,487x = 73,222 × 73,222
  4. Step 4: Simplify right side
    54,487x = 5,361,461,284
  5. Step 5: Solve for x
    x = 5,361,461,284/54,487
  6. Step 6: Final answer
    x = 98,398.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.