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Finding the Third Proportional to 103,859.72 and 169,577.93

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Solution

The third proportional to 103,859.72 and 169,577.93 is: 276,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,859.72 : 169,577.93 = 169,577.93 : x
  2. Step 2: Convert to fraction form
    103,859.72/169,577.93 = 169,577.93/x
  3. Step 3: Cross multiply
    103,859.72x = 169,577.93 × 169,577.93
  4. Step 4: Simplify right side
    103,859.72x = 28,756,674,237.10
  5. Step 5: Solve for x
    x = 28,756,674,237.10/103,859.72
  6. Step 6: Final answer
    x = 276,879.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.