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Finding the Third Proportional to 68,148 and 104,382

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Solution

The third proportional to 68,148 and 104,382 is: 159,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148 : 104,382 = 104,382 : x
  2. Step 2: Convert to fraction form
    68,148/104,382 = 104,382/x
  3. Step 3: Cross multiply
    68,148x = 104,382 × 104,382
  4. Step 4: Simplify right side
    68,148x = 10,895,601,924
  5. Step 5: Solve for x
    x = 10,895,601,924/68,148
  6. Step 6: Final answer
    x = 159,881.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.