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Finding the Third Proportional to 74,283 and 158,934

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Solution

The third proportional to 74,283 and 158,934 is: 340,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,283 : 158,934 = 158,934 : x
  2. Step 2: Convert to fraction form
    74,283/158,934 = 158,934/x
  3. Step 3: Cross multiply
    74,283x = 158,934 × 158,934
  4. Step 4: Simplify right side
    74,283x = 25,260,016,356
  5. Step 5: Solve for x
    x = 25,260,016,356/74,283
  6. Step 6: Final answer
    x = 340,051.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.