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Finding the Third Proportional to 74,823 and 161,516

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Solution

The third proportional to 74,823 and 161,516 is: 348,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,823 : 161,516 = 161,516 : x
  2. Step 2: Convert to fraction form
    74,823/161,516 = 161,516/x
  3. Step 3: Cross multiply
    74,823x = 161,516 × 161,516
  4. Step 4: Simplify right side
    74,823x = 26,087,418,256
  5. Step 5: Solve for x
    x = 26,087,418,256/74,823
  6. Step 6: Final answer
    x = 348,655.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.