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Finding the Third Proportional to 71,302.84 and 109,607.11

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Solution

The third proportional to 71,302.84 and 109,607.11 is: 168,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,302.84 : 109,607.11 = 109,607.11 : x
  2. Step 2: Convert to fraction form
    71,302.84/109,607.11 = 109,607.11/x
  3. Step 3: Cross multiply
    71,302.84x = 109,607.11 × 109,607.11
  4. Step 4: Simplify right side
    71,302.84x = 12,013,718,425.54
  5. Step 5: Solve for x
    x = 12,013,718,425.54/71,302.84
  6. Step 6: Final answer
    x = 168,488.63

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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.