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Finding the Third Proportional to 76,221 and 101,821.50

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Solution

The third proportional to 76,221 and 101,821.50 is: 136,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,221 : 101,821.50 = 101,821.50 : x
  2. Step 2: Convert to fraction form
    76,221/101,821.50 = 101,821.50/x
  3. Step 3: Cross multiply
    76,221x = 101,821.50 × 101,821.50
  4. Step 4: Simplify right side
    76,221x = 10,367,617,862.25
  5. Step 5: Solve for x
    x = 10,367,617,862.25/76,221
  6. Step 6: Final answer
    x = 136,020.49

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.