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Finding the Third Proportional to 94,820 and 138,723

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Solution

The third proportional to 94,820 and 138,723 is: 202,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,820 : 138,723 = 138,723 : x
  2. Step 2: Convert to fraction form
    94,820/138,723 = 138,723/x
  3. Step 3: Cross multiply
    94,820x = 138,723 × 138,723
  4. Step 4: Simplify right side
    94,820x = 19,244,070,729
  5. Step 5: Solve for x
    x = 19,244,070,729/94,820
  6. Step 6: Final answer
    x = 202,953.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.