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Finding the Third Proportional to 80,523 and 161,038.13

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Solution

The third proportional to 80,523 and 161,038.13 is: 322,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,523 : 161,038.13 = 161,038.13 : x
  2. Step 2: Convert to fraction form
    80,523/161,038.13 = 161,038.13/x
  3. Step 3: Cross multiply
    80,523x = 161,038.13 × 161,038.13
  4. Step 4: Simplify right side
    80,523x = 25,933,277,703.52
  5. Step 5: Solve for x
    x = 25,933,277,703.52/80,523
  6. Step 6: Final answer
    x = 322,060.50

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.