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Finding the Third Proportional to 94,412 and 148,100

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Solution

The third proportional to 94,412 and 148,100 is: 232,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,412 : 148,100 = 148,100 : x
  2. Step 2: Convert to fraction form
    94,412/148,100 = 148,100/x
  3. Step 3: Cross multiply
    94,412x = 148,100 × 148,100
  4. Step 4: Simplify right side
    94,412x = 21,933,610,000
  5. Step 5: Solve for x
    x = 21,933,610,000/94,412
  6. Step 6: Final answer
    x = 232,318.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.