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Finding the Third Proportional to 94,134 and 138,063

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Solution

The third proportional to 94,134 and 138,063 is: 202,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,134 : 138,063 = 138,063 : x
  2. Step 2: Convert to fraction form
    94,134/138,063 = 138,063/x
  3. Step 3: Cross multiply
    94,134x = 138,063 × 138,063
  4. Step 4: Simplify right side
    94,134x = 19,061,391,969
  5. Step 5: Solve for x
    x = 19,061,391,969/94,134
  6. Step 6: Final answer
    x = 202,492.11

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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.