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Finding the Third Proportional to 45,306 and 68,472

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Solution

The third proportional to 45,306 and 68,472 is: 103,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,306 : 68,472 = 68,472 : x
  2. Step 2: Convert to fraction form
    45,306/68,472 = 68,472/x
  3. Step 3: Cross multiply
    45,306x = 68,472 × 68,472
  4. Step 4: Simplify right side
    45,306x = 4,688,414,784
  5. Step 5: Solve for x
    x = 4,688,414,784/45,306
  6. Step 6: Final answer
    x = 103,483.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.