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Finding the Third Proportional to 56,527 and 89,980

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Solution

The third proportional to 56,527 and 89,980 is: 143,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,527 : 89,980 = 89,980 : x
  2. Step 2: Convert to fraction form
    56,527/89,980 = 89,980/x
  3. Step 3: Cross multiply
    56,527x = 89,980 × 89,980
  4. Step 4: Simplify right side
    56,527x = 8,096,400,400
  5. Step 5: Solve for x
    x = 8,096,400,400/56,527
  6. Step 6: Final answer
    x = 143,230.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.