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Finding the Third Proportional to 74,142 and 163,044

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Solution

The third proportional to 74,142 and 163,044 is: 358,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,142 : 163,044 = 163,044 : x
  2. Step 2: Convert to fraction form
    74,142/163,044 = 163,044/x
  3. Step 3: Cross multiply
    74,142x = 163,044 × 163,044
  4. Step 4: Simplify right side
    74,142x = 26,583,345,936
  5. Step 5: Solve for x
    x = 26,583,345,936/74,142
  6. Step 6: Final answer
    x = 358,546.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.