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Finding the Third Proportional to 54,698 and 78,217

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Solution

The third proportional to 54,698 and 78,217 is: 111,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698 : 78,217 = 78,217 : x
  2. Step 2: Convert to fraction form
    54,698/78,217 = 78,217/x
  3. Step 3: Cross multiply
    54,698x = 78,217 × 78,217
  4. Step 4: Simplify right side
    54,698x = 6,117,899,089
  5. Step 5: Solve for x
    x = 6,117,899,089/54,698
  6. Step 6: Final answer
    x = 111,848.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.