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Finding the Third Proportional to 92.95 and 147.30

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Solution

The third proportional to 92.95 and 147.30 is: 233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.95 : 147.30 = 147.30 : x
  2. Step 2: Convert to fraction form
    92.95/147.30 = 147.30/x
  3. Step 3: Cross multiply
    92.95x = 147.30 × 147.30
  4. Step 4: Simplify right side
    92.95x = 21,698.67
  5. Step 5: Solve for x
    x = 21,698.67/92.95
  6. Step 6: Final answer
    x = 233.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.