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Finding the Third Proportional to 70,769 and 110,460

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Solution

The third proportional to 70,769 and 110,460 is: 172,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,769 : 110,460 = 110,460 : x
  2. Step 2: Convert to fraction form
    70,769/110,460 = 110,460/x
  3. Step 3: Cross multiply
    70,769x = 110,460 × 110,460
  4. Step 4: Simplify right side
    70,769x = 12,201,411,600
  5. Step 5: Solve for x
    x = 12,201,411,600/70,769
  6. Step 6: Final answer
    x = 172,411.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.