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Finding the Third Proportional to 59,362.24 and 129,984.12

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Solution

The third proportional to 59,362.24 and 129,984.12 is: 284,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,362.24 : 129,984.12 = 129,984.12 : x
  2. Step 2: Convert to fraction form
    59,362.24/129,984.12 = 129,984.12/x
  3. Step 3: Cross multiply
    59,362.24x = 129,984.12 × 129,984.12
  4. Step 4: Simplify right side
    59,362.24x = 16,895,870,721.01
  5. Step 5: Solve for x
    x = 16,895,870,721.01/59,362.24
  6. Step 6: Final answer
    x = 284,623.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.