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Finding the Third Proportional to 56,986 and 88,465

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Solution

The third proportional to 56,986 and 88,465 is: 137,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,986 : 88,465 = 88,465 : x
  2. Step 2: Convert to fraction form
    56,986/88,465 = 88,465/x
  3. Step 3: Cross multiply
    56,986x = 88,465 × 88,465
  4. Step 4: Simplify right side
    56,986x = 7,826,056,225
  5. Step 5: Solve for x
    x = 7,826,056,225/56,986
  6. Step 6: Final answer
    x = 137,332.96

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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.