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Finding the Third Proportional to 61,026.75 and 81,454.50

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Solution

The third proportional to 61,026.75 and 81,454.50 is: 108,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,026.75 : 81,454.50 = 81,454.50 : x
  2. Step 2: Convert to fraction form
    61,026.75/81,454.50 = 81,454.50/x
  3. Step 3: Cross multiply
    61,026.75x = 81,454.50 × 81,454.50
  4. Step 4: Simplify right side
    61,026.75x = 6,634,835,570.25
  5. Step 5: Solve for x
    x = 6,634,835,570.25/61,026.75
  6. Step 6: Final answer
    x = 108,720.12

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.