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Finding the Third Proportional to 46,846 and 83,294

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Solution

The third proportional to 46,846 and 83,294 is: 148,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,846 : 83,294 = 83,294 : x
  2. Step 2: Convert to fraction form
    46,846/83,294 = 83,294/x
  3. Step 3: Cross multiply
    46,846x = 83,294 × 83,294
  4. Step 4: Simplify right side
    46,846x = 6,937,890,436
  5. Step 5: Solve for x
    x = 6,937,890,436/46,846
  6. Step 6: Final answer
    x = 148,099.95

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.