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Finding the Third Proportional to 54,838 and 74,312

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Solution

The third proportional to 54,838 and 74,312 is: 100,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838 : 74,312 = 74,312 : x
  2. Step 2: Convert to fraction form
    54,838/74,312 = 74,312/x
  3. Step 3: Cross multiply
    54,838x = 74,312 × 74,312
  4. Step 4: Simplify right side
    54,838x = 5,522,273,344
  5. Step 5: Solve for x
    x = 5,522,273,344/54,838
  6. Step 6: Final answer
    x = 100,701.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.