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Finding the Third Proportional to 77,410.69 and 169,583.63

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Solution

The third proportional to 77,410.69 and 169,583.63 is: 371,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.69 : 169,583.63 = 169,583.63 : x
  2. Step 2: Convert to fraction form
    77,410.69/169,583.63 = 169,583.63/x
  3. Step 3: Cross multiply
    77,410.69x = 169,583.63 × 169,583.63
  4. Step 4: Simplify right side
    77,410.69x = 28,758,605,868.14
  5. Step 5: Solve for x
    x = 28,758,605,868.14/77,410.69
  6. Step 6: Final answer
    x = 371,506.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.