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Finding the Third Proportional to 74,656 and 116,529

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Solution

The third proportional to 74,656 and 116,529 is: 181,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,656 : 116,529 = 116,529 : x
  2. Step 2: Convert to fraction form
    74,656/116,529 = 116,529/x
  3. Step 3: Cross multiply
    74,656x = 116,529 × 116,529
  4. Step 4: Simplify right side
    74,656x = 13,579,007,841
  5. Step 5: Solve for x
    x = 13,579,007,841/74,656
  6. Step 6: Final answer
    x = 181,887.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.