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Finding the Third Proportional to 78,236 and 106,294

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Solution

The third proportional to 78,236 and 106,294 is: 144,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,236 : 106,294 = 106,294 : x
  2. Step 2: Convert to fraction form
    78,236/106,294 = 106,294/x
  3. Step 3: Cross multiply
    78,236x = 106,294 × 106,294
  4. Step 4: Simplify right side
    78,236x = 11,298,414,436
  5. Step 5: Solve for x
    x = 11,298,414,436/78,236
  6. Step 6: Final answer
    x = 144,414.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.