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Finding the Third Proportional to 42,516 and 92,687

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Solution

The third proportional to 42,516 and 92,687 is: 202,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,516 : 92,687 = 92,687 : x
  2. Step 2: Convert to fraction form
    42,516/92,687 = 92,687/x
  3. Step 3: Cross multiply
    42,516x = 92,687 × 92,687
  4. Step 4: Simplify right side
    42,516x = 8,590,879,969
  5. Step 5: Solve for x
    x = 8,590,879,969/42,516
  6. Step 6: Final answer
    x = 202,062.28

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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.