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Finding the Third Proportional to 72,860 and 111,406

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Solution

The third proportional to 72,860 and 111,406 is: 170,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,860 : 111,406 = 111,406 : x
  2. Step 2: Convert to fraction form
    72,860/111,406 = 111,406/x
  3. Step 3: Cross multiply
    72,860x = 111,406 × 111,406
  4. Step 4: Simplify right side
    72,860x = 12,411,296,836
  5. Step 5: Solve for x
    x = 12,411,296,836/72,860
  6. Step 6: Final answer
    x = 170,344.45

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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.