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Finding the Third Proportional to 56,442.75 and 85,142.63

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Solution

The third proportional to 56,442.75 and 85,142.63 is: 128,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442.75 : 85,142.63 = 85,142.63 : x
  2. Step 2: Convert to fraction form
    56,442.75/85,142.63 = 85,142.63/x
  3. Step 3: Cross multiply
    56,442.75x = 85,142.63 × 85,142.63
  4. Step 4: Simplify right side
    56,442.75x = 7,249,266,591.89
  5. Step 5: Solve for x
    x = 7,249,266,591.89/56,442.75
  6. Step 6: Final answer
    x = 128,435.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.