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Finding the Third Proportional to 61,412 and 94,832

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Solution

The third proportional to 61,412 and 94,832 is: 146,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,412 : 94,832 = 94,832 : x
  2. Step 2: Convert to fraction form
    61,412/94,832 = 94,832/x
  3. Step 3: Cross multiply
    61,412x = 94,832 × 94,832
  4. Step 4: Simplify right side
    61,412x = 8,993,108,224
  5. Step 5: Solve for x
    x = 8,993,108,224/61,412
  6. Step 6: Final answer
    x = 146,438.94

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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.