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Finding the Third Proportional to 94,070 and 145,718

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Solution

The third proportional to 94,070 and 145,718 is: 225,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,070 : 145,718 = 145,718 : x
  2. Step 2: Convert to fraction form
    94,070/145,718 = 145,718/x
  3. Step 3: Cross multiply
    94,070x = 145,718 × 145,718
  4. Step 4: Simplify right side
    94,070x = 21,233,735,524
  5. Step 5: Solve for x
    x = 21,233,735,524/94,070
  6. Step 6: Final answer
    x = 225,722.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.