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Finding the Third Proportional to 57,985 and 89,596

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Solution

The third proportional to 57,985 and 89,596 is: 138,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,985 : 89,596 = 89,596 : x
  2. Step 2: Convert to fraction form
    57,985/89,596 = 89,596/x
  3. Step 3: Cross multiply
    57,985x = 89,596 × 89,596
  4. Step 4: Simplify right side
    57,985x = 8,027,443,216
  5. Step 5: Solve for x
    x = 8,027,443,216/57,985
  6. Step 6: Final answer
    x = 138,440.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.