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Finding the Third Proportional to 54,190 and 77,342

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Solution

The third proportional to 54,190 and 77,342 is: 110,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,190 : 77,342 = 77,342 : x
  2. Step 2: Convert to fraction form
    54,190/77,342 = 77,342/x
  3. Step 3: Cross multiply
    54,190x = 77,342 × 77,342
  4. Step 4: Simplify right side
    54,190x = 5,981,784,964
  5. Step 5: Solve for x
    x = 5,981,784,964/54,190
  6. Step 6: Final answer
    x = 110,385.40

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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.