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Finding the Third Proportional to 34,681 and 75,783

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Solution

The third proportional to 34,681 and 75,783 is: 165,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,681 : 75,783 = 75,783 : x
  2. Step 2: Convert to fraction form
    34,681/75,783 = 75,783/x
  3. Step 3: Cross multiply
    34,681x = 75,783 × 75,783
  4. Step 4: Simplify right side
    34,681x = 5,743,063,089
  5. Step 5: Solve for x
    x = 5,743,063,089/34,681
  6. Step 6: Final answer
    x = 165,596.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.