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Finding the Third Proportional to 74,913 and 161,823

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Solution

The third proportional to 74,913 and 161,823 is: 349,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913 : 161,823 = 161,823 : x
  2. Step 2: Convert to fraction form
    74,913/161,823 = 161,823/x
  3. Step 3: Cross multiply
    74,913x = 161,823 × 161,823
  4. Step 4: Simplify right side
    74,913x = 26,186,683,329
  5. Step 5: Solve for x
    x = 26,186,683,329/74,913
  6. Step 6: Final answer
    x = 349,561.27

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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.