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Finding the Third Proportional to 77,165.16 and 115,953.19

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Solution

The third proportional to 77,165.16 and 115,953.19 is: 174,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165.16 : 115,953.19 = 115,953.19 : x
  2. Step 2: Convert to fraction form
    77,165.16/115,953.19 = 115,953.19/x
  3. Step 3: Cross multiply
    77,165.16x = 115,953.19 × 115,953.19
  4. Step 4: Simplify right side
    77,165.16x = 13,445,141,691.41
  5. Step 5: Solve for x
    x = 13,445,141,691.41/77,165.16
  6. Step 6: Final answer
    x = 174,238.51

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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.