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Finding the Third Proportional to 71,730 and 149,362

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Solution

The third proportional to 71,730 and 149,362 is: 311,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,730 : 149,362 = 149,362 : x
  2. Step 2: Convert to fraction form
    71,730/149,362 = 149,362/x
  3. Step 3: Cross multiply
    71,730x = 149,362 × 149,362
  4. Step 4: Simplify right side
    71,730x = 22,309,007,044
  5. Step 5: Solve for x
    x = 22,309,007,044/71,730
  6. Step 6: Final answer
    x = 311,013.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.