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Finding the Third Proportional to 94,057 and 138,074

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Solution

The third proportional to 94,057 and 138,074 is: 202,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,057 : 138,074 = 138,074 : x
  2. Step 2: Convert to fraction form
    94,057/138,074 = 138,074/x
  3. Step 3: Cross multiply
    94,057x = 138,074 × 138,074
  4. Step 4: Simplify right side
    94,057x = 19,064,429,476
  5. Step 5: Solve for x
    x = 19,064,429,476/94,057
  6. Step 6: Final answer
    x = 202,690.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.