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Finding the Third Proportional to 139,254 and 242,781

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Solution

The third proportional to 139,254 and 242,781 is: 423,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,254 : 242,781 = 242,781 : x
  2. Step 2: Convert to fraction form
    139,254/242,781 = 242,781/x
  3. Step 3: Cross multiply
    139,254x = 242,781 × 242,781
  4. Step 4: Simplify right side
    139,254x = 58,942,613,961
  5. Step 5: Solve for x
    x = 58,942,613,961/139,254
  6. Step 6: Final answer
    x = 423,274.12

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.