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Finding the Third Proportional to 77,184 and 122,688

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Solution

The third proportional to 77,184 and 122,688 is: 195,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,184 : 122,688 = 122,688 : x
  2. Step 2: Convert to fraction form
    77,184/122,688 = 122,688/x
  3. Step 3: Cross multiply
    77,184x = 122,688 × 122,688
  4. Step 4: Simplify right side
    77,184x = 15,052,345,344
  5. Step 5: Solve for x
    x = 15,052,345,344/77,184
  6. Step 6: Final answer
    x = 195,018.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.