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Finding the Third Proportional to 68,248 and 105,288

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Solution

The third proportional to 68,248 and 105,288 is: 162,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,248 : 105,288 = 105,288 : x
  2. Step 2: Convert to fraction form
    68,248/105,288 = 105,288/x
  3. Step 3: Cross multiply
    68,248x = 105,288 × 105,288
  4. Step 4: Simplify right side
    68,248x = 11,085,562,944
  5. Step 5: Solve for x
    x = 11,085,562,944/68,248
  6. Step 6: Final answer
    x = 162,430.59

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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.