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Finding the Third Proportional to 117,047 and 177,270

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Solution

The third proportional to 117,047 and 177,270 is: 268,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,047 : 177,270 = 177,270 : x
  2. Step 2: Convert to fraction form
    117,047/177,270 = 177,270/x
  3. Step 3: Cross multiply
    117,047x = 177,270 × 177,270
  4. Step 4: Simplify right side
    117,047x = 31,424,652,900
  5. Step 5: Solve for x
    x = 31,424,652,900/117,047
  6. Step 6: Final answer
    x = 268,478.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.