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Finding the Third Proportional to 56,145.75 and 84,445.88

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Solution

The third proportional to 56,145.75 and 84,445.88 is: 127,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,145.75 : 84,445.88 = 84,445.88 : x
  2. Step 2: Convert to fraction form
    56,145.75/84,445.88 = 84,445.88/x
  3. Step 3: Cross multiply
    56,145.75x = 84,445.88 × 84,445.88
  4. Step 4: Simplify right side
    56,145.75x = 7,131,105,804.52
  5. Step 5: Solve for x
    x = 7,131,105,804.52/56,145.75
  6. Step 6: Final answer
    x = 127,010.61

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