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Finding the Third Proportional to 101.04 and 147.45

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Solution

The third proportional to 101.04 and 147.45 is: 215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.04 : 147.45 = 147.45 : x
  2. Step 2: Convert to fraction form
    101.04/147.45 = 147.45/x
  3. Step 3: Cross multiply
    101.04x = 147.45 × 147.45
  4. Step 4: Simplify right side
    101.04x = 21,740.12
  5. Step 5: Solve for x
    x = 21,740.12/101.04
  6. Step 6: Final answer
    x = 215.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.