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Finding the Third Proportional to 71,996 and 157,095

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Solution

The third proportional to 71,996 and 157,095 is: 342,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,996 : 157,095 = 157,095 : x
  2. Step 2: Convert to fraction form
    71,996/157,095 = 157,095/x
  3. Step 3: Cross multiply
    71,996x = 157,095 × 157,095
  4. Step 4: Simplify right side
    71,996x = 24,678,839,025
  5. Step 5: Solve for x
    x = 24,678,839,025/71,996
  6. Step 6: Final answer
    x = 342,780.70

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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.