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Finding the Third Proportional to 74,468 and 162,068

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Solution

The third proportional to 74,468 and 162,068 is: 352,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,468 : 162,068 = 162,068 : x
  2. Step 2: Convert to fraction form
    74,468/162,068 = 162,068/x
  3. Step 3: Cross multiply
    74,468x = 162,068 × 162,068
  4. Step 4: Simplify right side
    74,468x = 26,266,036,624
  5. Step 5: Solve for x
    x = 26,266,036,624/74,468
  6. Step 6: Final answer
    x = 352,715.75

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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.