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Finding the Third Proportional to 66.60 and 145.30

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Solution

The third proportional to 66.60 and 145.30 is: 317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.60 : 145.30 = 145.30 : x
  2. Step 2: Convert to fraction form
    66.60/145.30 = 145.30/x
  3. Step 3: Cross multiply
    66.60x = 145.30 × 145.30
  4. Step 4: Simplify right side
    66.60x = 21,112.32
  5. Step 5: Solve for x
    x = 21,112.32/66.60
  6. Step 6: Final answer
    x = 317.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.