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Finding the Third Proportional to 114,816 and 181,028

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Solution

The third proportional to 114,816 and 181,028 is: 285,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,816 : 181,028 = 181,028 : x
  2. Step 2: Convert to fraction form
    114,816/181,028 = 181,028/x
  3. Step 3: Cross multiply
    114,816x = 181,028 × 181,028
  4. Step 4: Simplify right side
    114,816x = 32,771,136,784
  5. Step 5: Solve for x
    x = 32,771,136,784/114,816
  6. Step 6: Final answer
    x = 285,423.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.