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Finding the Third Proportional to 85,060 and 183,724

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Solution

The third proportional to 85,060 and 183,724 is: 396,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,060 : 183,724 = 183,724 : x
  2. Step 2: Convert to fraction form
    85,060/183,724 = 183,724/x
  3. Step 3: Cross multiply
    85,060x = 183,724 × 183,724
  4. Step 4: Simplify right side
    85,060x = 33,754,508,176
  5. Step 5: Solve for x
    x = 33,754,508,176/85,060
  6. Step 6: Final answer
    x = 396,831.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.