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Finding the Third Proportional to 55,574.86 and 116,957.36

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Solution

The third proportional to 55,574.86 and 116,957.36 is: 246,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,574.86 : 116,957.36 = 116,957.36 : x
  2. Step 2: Convert to fraction form
    55,574.86/116,957.36 = 116,957.36/x
  3. Step 3: Cross multiply
    55,574.86x = 116,957.36 × 116,957.36
  4. Step 4: Simplify right side
    55,574.86x = 13,679,022,998.24
  5. Step 5: Solve for x
    x = 13,679,022,998.24/55,574.86
  6. Step 6: Final answer
    x = 246,136.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.