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Finding the Third Proportional to 43,681 and 65,453

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Solution

The third proportional to 43,681 and 65,453 is: 98,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,681 : 65,453 = 65,453 : x
  2. Step 2: Convert to fraction form
    43,681/65,453 = 65,453/x
  3. Step 3: Cross multiply
    43,681x = 65,453 × 65,453
  4. Step 4: Simplify right side
    43,681x = 4,284,095,209
  5. Step 5: Solve for x
    x = 4,284,095,209/43,681
  6. Step 6: Final answer
    x = 98,076.86

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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.