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Finding the Third Proportional to 94,438 and 138,254

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Solution

The third proportional to 94,438 and 138,254 is: 202,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,438 : 138,254 = 138,254 : x
  2. Step 2: Convert to fraction form
    94,438/138,254 = 138,254/x
  3. Step 3: Cross multiply
    94,438x = 138,254 × 138,254
  4. Step 4: Simplify right side
    94,438x = 19,114,168,516
  5. Step 5: Solve for x
    x = 19,114,168,516/94,438
  6. Step 6: Final answer
    x = 202,399.12

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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.