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Finding the Third Proportional to 65,706 and 100,530

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Solution

The third proportional to 65,706 and 100,530 is: 153,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706 : 100,530 = 100,530 : x
  2. Step 2: Convert to fraction form
    65,706/100,530 = 100,530/x
  3. Step 3: Cross multiply
    65,706x = 100,530 × 100,530
  4. Step 4: Simplify right side
    65,706x = 10,106,280,900
  5. Step 5: Solve for x
    x = 10,106,280,900/65,706
  6. Step 6: Final answer
    x = 153,810.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.