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Finding the Third Proportional to 67,725 and 147,942

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Solution

The third proportional to 67,725 and 147,942 is: 323,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,725 : 147,942 = 147,942 : x
  2. Step 2: Convert to fraction form
    67,725/147,942 = 147,942/x
  3. Step 3: Cross multiply
    67,725x = 147,942 × 147,942
  4. Step 4: Simplify right side
    67,725x = 21,886,835,364
  5. Step 5: Solve for x
    x = 21,886,835,364/67,725
  6. Step 6: Final answer
    x = 323,172.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.