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Finding the Third Proportional to 56,050.50 and 85,718

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Solution

The third proportional to 56,050.50 and 85,718 is: 131,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,050.50 : 85,718 = 85,718 : x
  2. Step 2: Convert to fraction form
    56,050.50/85,718 = 85,718/x
  3. Step 3: Cross multiply
    56,050.50x = 85,718 × 85,718
  4. Step 4: Simplify right side
    56,050.50x = 7,347,575,524
  5. Step 5: Solve for x
    x = 7,347,575,524/56,050.50
  6. Step 6: Final answer
    x = 131,088.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.