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Finding the Third Proportional to 34,018 and 74,516

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Solution

The third proportional to 34,018 and 74,516 is: 163,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,018 : 74,516 = 74,516 : x
  2. Step 2: Convert to fraction form
    34,018/74,516 = 74,516/x
  3. Step 3: Cross multiply
    34,018x = 74,516 × 74,516
  4. Step 4: Simplify right side
    34,018x = 5,552,634,256
  5. Step 5: Solve for x
    x = 5,552,634,256/34,018
  6. Step 6: Final answer
    x = 163,226.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.