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Finding the Third Proportional to 73,666 and 112,642

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Solution

The third proportional to 73,666 and 112,642 is: 172,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,666 : 112,642 = 112,642 : x
  2. Step 2: Convert to fraction form
    73,666/112,642 = 112,642/x
  3. Step 3: Cross multiply
    73,666x = 112,642 × 112,642
  4. Step 4: Simplify right side
    73,666x = 12,688,220,164
  5. Step 5: Solve for x
    x = 12,688,220,164/73,666
  6. Step 6: Final answer
    x = 172,239.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.