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Finding the Third Proportional to 70,644 and 105,967.13

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Solution

The third proportional to 70,644 and 105,967.13 is: 158,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,644 : 105,967.13 = 105,967.13 : x
  2. Step 2: Convert to fraction form
    70,644/105,967.13 = 105,967.13/x
  3. Step 3: Cross multiply
    70,644x = 105,967.13 × 105,967.13
  4. Step 4: Simplify right side
    70,644x = 11,229,031,580.77
  5. Step 5: Solve for x
    x = 11,229,031,580.77/70,644
  6. Step 6: Final answer
    x = 158,952.38

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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.