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Finding the Third Proportional to 103,800.38 and 169,494.94

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Solution

The third proportional to 103,800.38 and 169,494.94 is: 276,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,800.38 : 169,494.94 = 169,494.94 : x
  2. Step 2: Convert to fraction form
    103,800.38/169,494.94 = 169,494.94/x
  3. Step 3: Cross multiply
    103,800.38x = 169,494.94 × 169,494.94
  4. Step 4: Simplify right side
    103,800.38x = 28,728,533,838.13
  5. Step 5: Solve for x
    x = 28,728,533,838.13/103,800.38
  6. Step 6: Final answer
    x = 276,767.15

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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.