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Finding the Third Proportional to 61.47 and 90.23

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Solution

The third proportional to 61.47 and 90.23 is: 132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.47 : 90.23 = 90.23 : x
  2. Step 2: Convert to fraction form
    61.47/90.23 = 90.23/x
  3. Step 3: Cross multiply
    61.47x = 90.23 × 90.23
  4. Step 4: Simplify right side
    61.47x = 8,142.24
  5. Step 5: Solve for x
    x = 8,142.24/61.47
  6. Step 6: Final answer
    x = 132.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.