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Finding the Third Proportional to 42,527 and 92,824

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Solution

The third proportional to 42,527 and 92,824 is: 202,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,527 : 92,824 = 92,824 : x
  2. Step 2: Convert to fraction form
    42,527/92,824 = 92,824/x
  3. Step 3: Cross multiply
    42,527x = 92,824 × 92,824
  4. Step 4: Simplify right side
    42,527x = 8,616,294,976
  5. Step 5: Solve for x
    x = 8,616,294,976/42,527
  6. Step 6: Final answer
    x = 202,607.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.