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Finding the Third Proportional to 77,327.16 and 116,195.77

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Solution

The third proportional to 77,327.16 and 116,195.77 is: 174,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,327.16 : 116,195.77 = 116,195.77 : x
  2. Step 2: Convert to fraction form
    77,327.16/116,195.77 = 116,195.77/x
  3. Step 3: Cross multiply
    77,327.16x = 116,195.77 × 116,195.77
  4. Step 4: Simplify right side
    77,327.16x = 13,501,455,949.18
  5. Step 5: Solve for x
    x = 13,501,455,949.18/77,327.16
  6. Step 6: Final answer
    x = 174,601.74

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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.