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Finding the Third Proportional to 46,908 and 83,424

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Solution

The third proportional to 46,908 and 83,424 is: 148,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,908 : 83,424 = 83,424 : x
  2. Step 2: Convert to fraction form
    46,908/83,424 = 83,424/x
  3. Step 3: Cross multiply
    46,908x = 83,424 × 83,424
  4. Step 4: Simplify right side
    46,908x = 6,959,563,776
  5. Step 5: Solve for x
    x = 6,959,563,776/46,908
  6. Step 6: Final answer
    x = 148,366.24

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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.