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Finding the Third Proportional to 74,472 and 162,076

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Solution

The third proportional to 74,472 and 162,076 is: 352,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,472 : 162,076 = 162,076 : x
  2. Step 2: Convert to fraction form
    74,472/162,076 = 162,076/x
  3. Step 3: Cross multiply
    74,472x = 162,076 × 162,076
  4. Step 4: Simplify right side
    74,472x = 26,268,629,776
  5. Step 5: Solve for x
    x = 26,268,629,776/74,472
  6. Step 6: Final answer
    x = 352,731.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.