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Finding the Third Proportional to 74,006 and 112,851

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Solution

The third proportional to 74,006 and 112,851 is: 172,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,006 : 112,851 = 112,851 : x
  2. Step 2: Convert to fraction form
    74,006/112,851 = 112,851/x
  3. Step 3: Cross multiply
    74,006x = 112,851 × 112,851
  4. Step 4: Simplify right side
    74,006x = 12,735,348,201
  5. Step 5: Solve for x
    x = 12,735,348,201/74,006
  6. Step 6: Final answer
    x = 172,085.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.