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Finding the Third Proportional to 77,083 and 115,102

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Solution

The third proportional to 77,083 and 115,102 is: 171,872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083 : 115,102 = 115,102 : x
  2. Step 2: Convert to fraction form
    77,083/115,102 = 115,102/x
  3. Step 3: Cross multiply
    77,083x = 115,102 × 115,102
  4. Step 4: Simplify right side
    77,083x = 13,248,470,404
  5. Step 5: Solve for x
    x = 13,248,470,404/77,083
  6. Step 6: Final answer
    x = 171,872.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.