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Finding the Third Proportional to 64,266 and 95,823

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Solution

The third proportional to 64,266 and 95,823 is: 142,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,266 : 95,823 = 95,823 : x
  2. Step 2: Convert to fraction form
    64,266/95,823 = 95,823/x
  3. Step 3: Cross multiply
    64,266x = 95,823 × 95,823
  4. Step 4: Simplify right side
    64,266x = 9,182,047,329
  5. Step 5: Solve for x
    x = 9,182,047,329/64,266
  6. Step 6: Final answer
    x = 142,875.66

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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.