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Finding the Third Proportional to 57,364 and 84,164

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Solution

The third proportional to 57,364 and 84,164 is: 123,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,364 : 84,164 = 84,164 : x
  2. Step 2: Convert to fraction form
    57,364/84,164 = 84,164/x
  3. Step 3: Cross multiply
    57,364x = 84,164 × 84,164
  4. Step 4: Simplify right side
    57,364x = 7,083,578,896
  5. Step 5: Solve for x
    x = 7,083,578,896/57,364
  6. Step 6: Final answer
    x = 123,484.74

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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.