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Finding the Third Proportional to 84,280 and 181,066

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Solution

The third proportional to 84,280 and 181,066 is: 388,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,280 : 181,066 = 181,066 : x
  2. Step 2: Convert to fraction form
    84,280/181,066 = 181,066/x
  3. Step 3: Cross multiply
    84,280x = 181,066 × 181,066
  4. Step 4: Simplify right side
    84,280x = 32,784,896,356
  5. Step 5: Solve for x
    x = 32,784,896,356/84,280
  6. Step 6: Final answer
    x = 388,999.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.