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Finding the Third Proportional to 64,145 and 95,533

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Solution

The third proportional to 64,145 and 95,533 is: 142,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,145 : 95,533 = 95,533 : x
  2. Step 2: Convert to fraction form
    64,145/95,533 = 95,533/x
  3. Step 3: Cross multiply
    64,145x = 95,533 × 95,533
  4. Step 4: Simplify right side
    64,145x = 9,126,554,089
  5. Step 5: Solve for x
    x = 9,126,554,089/64,145
  6. Step 6: Final answer
    x = 142,280.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.