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Finding the Third Proportional to 46,072 and 95,424

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Solution

The third proportional to 46,072 and 95,424 is: 197,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072 : 95,424 = 95,424 : x
  2. Step 2: Convert to fraction form
    46,072/95,424 = 95,424/x
  3. Step 3: Cross multiply
    46,072x = 95,424 × 95,424
  4. Step 4: Simplify right side
    46,072x = 9,105,739,776
  5. Step 5: Solve for x
    x = 9,105,739,776/46,072
  6. Step 6: Final answer
    x = 197,641.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.