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Finding the Third Proportional to 114,960 and 177,362

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Solution

The third proportional to 114,960 and 177,362 is: 273,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,960 : 177,362 = 177,362 : x
  2. Step 2: Convert to fraction form
    114,960/177,362 = 177,362/x
  3. Step 3: Cross multiply
    114,960x = 177,362 × 177,362
  4. Step 4: Simplify right side
    114,960x = 31,457,279,044
  5. Step 5: Solve for x
    x = 31,457,279,044/114,960
  6. Step 6: Final answer
    x = 273,636.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.