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Finding the Third Proportional to 63,391 and 95,340

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Solution

The third proportional to 63,391 and 95,340 is: 143,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,391 : 95,340 = 95,340 : x
  2. Step 2: Convert to fraction form
    63,391/95,340 = 95,340/x
  3. Step 3: Cross multiply
    63,391x = 95,340 × 95,340
  4. Step 4: Simplify right side
    63,391x = 9,089,715,600
  5. Step 5: Solve for x
    x = 9,089,715,600/63,391
  6. Step 6: Final answer
    x = 143,391.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.