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Finding the Third Proportional to 102,762 and 153,723

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Solution

The third proportional to 102,762 and 153,723 is: 229,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762 : 153,723 = 153,723 : x
  2. Step 2: Convert to fraction form
    102,762/153,723 = 153,723/x
  3. Step 3: Cross multiply
    102,762x = 153,723 × 153,723
  4. Step 4: Simplify right side
    102,762x = 23,630,760,729
  5. Step 5: Solve for x
    x = 23,630,760,729/102,762
  6. Step 6: Final answer
    x = 229,956.22

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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.