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Finding the Third Proportional to 64,476 and 96,741

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Solution

The third proportional to 64,476 and 96,741 is: 145,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,476 : 96,741 = 96,741 : x
  2. Step 2: Convert to fraction form
    64,476/96,741 = 96,741/x
  3. Step 3: Cross multiply
    64,476x = 96,741 × 96,741
  4. Step 4: Simplify right side
    64,476x = 9,358,821,081
  5. Step 5: Solve for x
    x = 9,358,821,081/64,476
  6. Step 6: Final answer
    x = 145,152.01

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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.