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Finding the Third Proportional to 73,134 and 109,222

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Solution

The third proportional to 73,134 and 109,222 is: 163,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,134 : 109,222 = 109,222 : x
  2. Step 2: Convert to fraction form
    73,134/109,222 = 109,222/x
  3. Step 3: Cross multiply
    73,134x = 109,222 × 109,222
  4. Step 4: Simplify right side
    73,134x = 11,929,445,284
  5. Step 5: Solve for x
    x = 11,929,445,284/73,134
  6. Step 6: Final answer
    x = 163,117.64

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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.