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Finding the Third Proportional to 63.34 and 130.06

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Solution

The third proportional to 63.34 and 130.06 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.34 : 130.06 = 130.06 : x
  2. Step 2: Convert to fraction form
    63.34/130.06 = 130.06/x
  3. Step 3: Cross multiply
    63.34x = 130.06 × 130.06
  4. Step 4: Simplify right side
    63.34x = 16,916.25
  5. Step 5: Solve for x
    x = 16,916.25/63.34
  6. Step 6: Final answer
    x = 267.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.