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Finding the Third Proportional to 146.65 and 172.28

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Solution

The third proportional to 146.65 and 172.28 is: 202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.65 : 172.28 = 172.28 : x
  2. Step 2: Convert to fraction form
    146.65/172.28 = 172.28/x
  3. Step 3: Cross multiply
    146.65x = 172.28 × 172.28
  4. Step 4: Simplify right side
    146.65x = 29,681.50
  5. Step 5: Solve for x
    x = 29,681.50/146.65
  6. Step 6: Final answer
    x = 202.39

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.