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Finding the Third Proportional to 141.01 and 210.02

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Solution

The third proportional to 141.01 and 210.02 is: 312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.01 : 210.02 = 210.02 : x
  2. Step 2: Convert to fraction form
    141.01/210.02 = 210.02/x
  3. Step 3: Cross multiply
    141.01x = 210.02 × 210.02
  4. Step 4: Simplify right side
    141.01x = 44,109.84
  5. Step 5: Solve for x
    x = 44,109.84/141.01
  6. Step 6: Final answer
    x = 312.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.