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Finding the Third Proportional to 74,568 and 112,938

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Solution

The third proportional to 74,568 and 112,938 is: 171,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,568 : 112,938 = 112,938 : x
  2. Step 2: Convert to fraction form
    74,568/112,938 = 112,938/x
  3. Step 3: Cross multiply
    74,568x = 112,938 × 112,938
  4. Step 4: Simplify right side
    74,568x = 12,754,991,844
  5. Step 5: Solve for x
    x = 12,754,991,844/74,568
  6. Step 6: Final answer
    x = 171,051.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.