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Finding the Third Proportional to 77,820 and 115,596

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Solution

The third proportional to 77,820 and 115,596 is: 171,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,820 : 115,596 = 115,596 : x
  2. Step 2: Convert to fraction form
    77,820/115,596 = 115,596/x
  3. Step 3: Cross multiply
    77,820x = 115,596 × 115,596
  4. Step 4: Simplify right side
    77,820x = 13,362,435,216
  5. Step 5: Solve for x
    x = 13,362,435,216/77,820
  6. Step 6: Final answer
    x = 171,709.52

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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.