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Finding the Third Proportional to 70,446 and 105,309

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Solution

The third proportional to 70,446 and 105,309 is: 157,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,446 : 105,309 = 105,309 : x
  2. Step 2: Convert to fraction form
    70,446/105,309 = 105,309/x
  3. Step 3: Cross multiply
    70,446x = 105,309 × 105,309
  4. Step 4: Simplify right side
    70,446x = 11,089,985,481
  5. Step 5: Solve for x
    x = 11,089,985,481/70,446
  6. Step 6: Final answer
    x = 157,425.34

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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.