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Finding the Third Proportional to 119,020 and 169,206

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Solution

The third proportional to 119,020 and 169,206 is: 240,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,020 : 169,206 = 169,206 : x
  2. Step 2: Convert to fraction form
    119,020/169,206 = 169,206/x
  3. Step 3: Cross multiply
    119,020x = 169,206 × 169,206
  4. Step 4: Simplify right side
    119,020x = 28,630,670,436
  5. Step 5: Solve for x
    x = 28,630,670,436/119,020
  6. Step 6: Final answer
    x = 240,553.44

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.