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Finding the Third Proportional to 102,804 and 161,306

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Solution

The third proportional to 102,804 and 161,306 is: 253,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804 : 161,306 = 161,306 : x
  2. Step 2: Convert to fraction form
    102,804/161,306 = 161,306/x
  3. Step 3: Cross multiply
    102,804x = 161,306 × 161,306
  4. Step 4: Simplify right side
    102,804x = 26,019,625,636
  5. Step 5: Solve for x
    x = 26,019,625,636/102,804
  6. Step 6: Final answer
    x = 253,099.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.