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Finding the Third Proportional to 68,949 and 105,429

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Solution

The third proportional to 68,949 and 105,429 is: 161,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,949 : 105,429 = 105,429 : x
  2. Step 2: Convert to fraction form
    68,949/105,429 = 105,429/x
  3. Step 3: Cross multiply
    68,949x = 105,429 × 105,429
  4. Step 4: Simplify right side
    68,949x = 11,115,274,041
  5. Step 5: Solve for x
    x = 11,115,274,041/68,949
  6. Step 6: Final answer
    x = 161,210.08

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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.