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Finding the Third Proportional to 103,267 and 152,982

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Solution

The third proportional to 103,267 and 152,982 is: 226,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,267 : 152,982 = 152,982 : x
  2. Step 2: Convert to fraction form
    103,267/152,982 = 152,982/x
  3. Step 3: Cross multiply
    103,267x = 152,982 × 152,982
  4. Step 4: Simplify right side
    103,267x = 23,403,492,324
  5. Step 5: Solve for x
    x = 23,403,492,324/103,267
  6. Step 6: Final answer
    x = 226,630.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.