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Finding the Third Proportional to 77,621.06 and 116,816.63

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Solution

The third proportional to 77,621.06 and 116,816.63 is: 175,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,621.06 : 116,816.63 = 116,816.63 : x
  2. Step 2: Convert to fraction form
    77,621.06/116,816.63 = 116,816.63/x
  3. Step 3: Cross multiply
    77,621.06x = 116,816.63 × 116,816.63
  4. Step 4: Simplify right side
    77,621.06x = 13,646,123,876.39
  5. Step 5: Solve for x
    x = 13,646,123,876.39/77,621.06
  6. Step 6: Final answer
    x = 175,804.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.