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Finding the Third Proportional to 85,382 and 125,301

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Solution

The third proportional to 85,382 and 125,301 is: 183,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382 : 125,301 = 125,301 : x
  2. Step 2: Convert to fraction form
    85,382/125,301 = 125,301/x
  3. Step 3: Cross multiply
    85,382x = 125,301 × 125,301
  4. Step 4: Simplify right side
    85,382x = 15,700,340,601
  5. Step 5: Solve for x
    x = 15,700,340,601/85,382
  6. Step 6: Final answer
    x = 183,883.50

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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.