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Finding the Third Proportional to 42,643 and 92,918

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Solution

The third proportional to 42,643 and 92,918 is: 202,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,643 : 92,918 = 92,918 : x
  2. Step 2: Convert to fraction form
    42,643/92,918 = 92,918/x
  3. Step 3: Cross multiply
    42,643x = 92,918 × 92,918
  4. Step 4: Simplify right side
    42,643x = 8,633,754,724
  5. Step 5: Solve for x
    x = 8,633,754,724/42,643
  6. Step 6: Final answer
    x = 202,465.93

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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.