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Finding the Third Proportional to 118,376 and 177,700

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Solution

The third proportional to 118,376 and 177,700 is: 266,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,376 : 177,700 = 177,700 : x
  2. Step 2: Convert to fraction form
    118,376/177,700 = 177,700/x
  3. Step 3: Cross multiply
    118,376x = 177,700 × 177,700
  4. Step 4: Simplify right side
    118,376x = 31,577,290,000
  5. Step 5: Solve for x
    x = 31,577,290,000/118,376
  6. Step 6: Final answer
    x = 266,754.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.