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Finding the Third Proportional to 77,763.38 and 169,597.13

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Solution

The third proportional to 77,763.38 and 169,597.13 is: 369,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,763.38 : 169,597.13 = 169,597.13 : x
  2. Step 2: Convert to fraction form
    77,763.38/169,597.13 = 169,597.13/x
  3. Step 3: Cross multiply
    77,763.38x = 169,597.13 × 169,597.13
  4. Step 4: Simplify right side
    77,763.38x = 28,763,184,808.27
  5. Step 5: Solve for x
    x = 28,763,184,808.27/77,763.38
  6. Step 6: Final answer
    x = 369,880.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.