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Finding the Third Proportional to 72,712 and 111,184

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Solution

The third proportional to 72,712 and 111,184 is: 170,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712 : 111,184 = 111,184 : x
  2. Step 2: Convert to fraction form
    72,712/111,184 = 111,184/x
  3. Step 3: Cross multiply
    72,712x = 111,184 × 111,184
  4. Step 4: Simplify right side
    72,712x = 12,361,881,856
  5. Step 5: Solve for x
    x = 12,361,881,856/72,712
  6. Step 6: Final answer
    x = 170,011.58

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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.