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Finding the Third Proportional to 72 and 145.13

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Solution

The third proportional to 72 and 145.13 is: 292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72 : 145.13 = 145.13 : x
  2. Step 2: Convert to fraction form
    72/145.13 = 145.13/x
  3. Step 3: Cross multiply
    72x = 145.13 × 145.13
  4. Step 4: Simplify right side
    72x = 21,061.27
  5. Step 5: Solve for x
    x = 21,061.27/72
  6. Step 6: Final answer
    x = 292.52

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.