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Finding the Third Proportional to 94,400 and 145,842

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Solution

The third proportional to 94,400 and 145,842 is: 225,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,400 : 145,842 = 145,842 : x
  2. Step 2: Convert to fraction form
    94,400/145,842 = 145,842/x
  3. Step 3: Cross multiply
    94,400x = 145,842 × 145,842
  4. Step 4: Simplify right side
    94,400x = 21,269,888,964
  5. Step 5: Solve for x
    x = 21,269,888,964/94,400
  6. Step 6: Final answer
    x = 225,316.62

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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.