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Finding the Third Proportional to 56,823.75 and 85,235.63

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Solution

The third proportional to 56,823.75 and 85,235.63 is: 127,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,823.75 : 85,235.63 = 85,235.63 : x
  2. Step 2: Convert to fraction form
    56,823.75/85,235.63 = 85,235.63/x
  3. Step 3: Cross multiply
    56,823.75x = 85,235.63 × 85,235.63
  4. Step 4: Simplify right side
    56,823.75x = 7,265,111,769.14
  5. Step 5: Solve for x
    x = 7,265,111,769.14/56,823.75
  6. Step 6: Final answer
    x = 127,853.44

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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.