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Finding the Third Proportional to 46,340 and 98,472

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Solution

The third proportional to 46,340 and 98,472 is: 209,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,340 : 98,472 = 98,472 : x
  2. Step 2: Convert to fraction form
    46,340/98,472 = 98,472/x
  3. Step 3: Cross multiply
    46,340x = 98,472 × 98,472
  4. Step 4: Simplify right side
    46,340x = 9,696,734,784
  5. Step 5: Solve for x
    x = 9,696,734,784/46,340
  6. Step 6: Final answer
    x = 209,251.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.