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Finding the Third Proportional to 73,064 and 112,674

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Solution

The third proportional to 73,064 and 112,674 is: 173,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,064 : 112,674 = 112,674 : x
  2. Step 2: Convert to fraction form
    73,064/112,674 = 112,674/x
  3. Step 3: Cross multiply
    73,064x = 112,674 × 112,674
  4. Step 4: Simplify right side
    73,064x = 12,695,430,276
  5. Step 5: Solve for x
    x = 12,695,430,276/73,064
  6. Step 6: Final answer
    x = 173,757.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.