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Finding the Third Proportional to 81,010 and 121,514

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Solution

The third proportional to 81,010 and 121,514 is: 182,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,010 : 121,514 = 121,514 : x
  2. Step 2: Convert to fraction form
    81,010/121,514 = 121,514/x
  3. Step 3: Cross multiply
    81,010x = 121,514 × 121,514
  4. Step 4: Simplify right side
    81,010x = 14,765,652,196
  5. Step 5: Solve for x
    x = 14,765,652,196/81,010
  6. Step 6: Final answer
    x = 182,269.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.