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Finding the Third Proportional to 117.70 and 172.76

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Solution

The third proportional to 117.70 and 172.76 is: 253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 172.76 = 172.76 : x
  2. Step 2: Convert to fraction form
    117.70/172.76 = 172.76/x
  3. Step 3: Cross multiply
    117.70x = 172.76 × 172.76
  4. Step 4: Simplify right side
    117.70x = 29,845.26
  5. Step 5: Solve for x
    x = 29,845.26/117.70
  6. Step 6: Final answer
    x = 253.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.