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Finding the Third Proportional to 117,628 and 177,536

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Solution

The third proportional to 117,628 and 177,536 is: 267,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,628 : 177,536 = 177,536 : x
  2. Step 2: Convert to fraction form
    117,628/177,536 = 177,536/x
  3. Step 3: Cross multiply
    117,628x = 177,536 × 177,536
  4. Step 4: Simplify right side
    117,628x = 31,519,031,296
  5. Step 5: Solve for x
    x = 31,519,031,296/117,628
  6. Step 6: Final answer
    x = 267,955.17

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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.