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Finding the Third Proportional to 74,473 and 162,051

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Solution

The third proportional to 74,473 and 162,051 is: 352,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,473 : 162,051 = 162,051 : x
  2. Step 2: Convert to fraction form
    74,473/162,051 = 162,051/x
  3. Step 3: Cross multiply
    74,473x = 162,051 × 162,051
  4. Step 4: Simplify right side
    74,473x = 26,260,526,601
  5. Step 5: Solve for x
    x = 26,260,526,601/74,473
  6. Step 6: Final answer
    x = 352,618.08

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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.