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Finding the Third Proportional to 42,336 and 94,695.75

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Solution

The third proportional to 42,336 and 94,695.75 is: 211,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,336 : 94,695.75 = 94,695.75 : x
  2. Step 2: Convert to fraction form
    42,336/94,695.75 = 94,695.75/x
  3. Step 3: Cross multiply
    42,336x = 94,695.75 × 94,695.75
  4. Step 4: Simplify right side
    42,336x = 8,967,285,068.06
  5. Step 5: Solve for x
    x = 8,967,285,068.06/42,336
  6. Step 6: Final answer
    x = 211,812.29

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.