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Finding the Third Proportional to 74,710 and 112,349

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Solution

The third proportional to 74,710 and 112,349 is: 168,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,710 : 112,349 = 112,349 : x
  2. Step 2: Convert to fraction form
    74,710/112,349 = 112,349/x
  3. Step 3: Cross multiply
    74,710x = 112,349 × 112,349
  4. Step 4: Simplify right side
    74,710x = 12,622,297,801
  5. Step 5: Solve for x
    x = 12,622,297,801/74,710
  6. Step 6: Final answer
    x = 168,950.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.