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Finding the Third Proportional to 74,053 and 161,246

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Solution

The third proportional to 74,053 and 161,246 is: 351,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,053 : 161,246 = 161,246 : x
  2. Step 2: Convert to fraction form
    74,053/161,246 = 161,246/x
  3. Step 3: Cross multiply
    74,053x = 161,246 × 161,246
  4. Step 4: Simplify right side
    74,053x = 26,000,272,516
  5. Step 5: Solve for x
    x = 26,000,272,516/74,053
  6. Step 6: Final answer
    x = 351,103.57

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