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Finding the Third Proportional to 61,295 and 94,674

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Solution

The third proportional to 61,295 and 94,674 is: 146,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,295 : 94,674 = 94,674 : x
  2. Step 2: Convert to fraction form
    61,295/94,674 = 94,674/x
  3. Step 3: Cross multiply
    61,295x = 94,674 × 94,674
  4. Step 4: Simplify right side
    61,295x = 8,963,166,276
  5. Step 5: Solve for x
    x = 8,963,166,276/61,295
  6. Step 6: Final answer
    x = 146,229.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.