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Finding the Third Proportional to 57,510 and 84,331.13

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Solution

The third proportional to 57,510 and 84,331.13 is: 123,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,510 : 84,331.13 = 84,331.13 : x
  2. Step 2: Convert to fraction form
    57,510/84,331.13 = 84,331.13/x
  3. Step 3: Cross multiply
    57,510x = 84,331.13 × 84,331.13
  4. Step 4: Simplify right side
    57,510x = 7,111,738,643.77
  5. Step 5: Solve for x
    x = 7,111,738,643.77/57,510
  6. Step 6: Final answer
    x = 123,660.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.