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Finding the Third Proportional to 68,838.75 and 105,886.13

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Solution

The third proportional to 68,838.75 and 105,886.13 is: 162,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,838.75 : 105,886.13 = 105,886.13 : x
  2. Step 2: Convert to fraction form
    68,838.75/105,886.13 = 105,886.13/x
  3. Step 3: Cross multiply
    68,838.75x = 105,886.13 × 105,886.13
  4. Step 4: Simplify right side
    68,838.75x = 11,211,871,467.52
  5. Step 5: Solve for x
    x = 11,211,871,467.52/68,838.75
  6. Step 6: Final answer
    x = 162,871.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.