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Finding the Third Proportional to 56,835 and 85,254

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Solution

The third proportional to 56,835 and 85,254 is: 127,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,835 : 85,254 = 85,254 : x
  2. Step 2: Convert to fraction form
    56,835/85,254 = 85,254/x
  3. Step 3: Cross multiply
    56,835x = 85,254 × 85,254
  4. Step 4: Simplify right side
    56,835x = 7,268,244,516
  5. Step 5: Solve for x
    x = 7,268,244,516/56,835
  6. Step 6: Final answer
    x = 127,883.25

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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.