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Finding the Third Proportional to 118,213 and 176,902

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Solution

The third proportional to 118,213 and 176,902 is: 264,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,213 : 176,902 = 176,902 : x
  2. Step 2: Convert to fraction form
    118,213/176,902 = 176,902/x
  3. Step 3: Cross multiply
    118,213x = 176,902 × 176,902
  4. Step 4: Simplify right side
    118,213x = 31,294,317,604
  5. Step 5: Solve for x
    x = 31,294,317,604/118,213
  6. Step 6: Final answer
    x = 264,728.22

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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.