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Finding the Third Proportional to 58.13 and 92.06

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Solution

The third proportional to 58.13 and 92.06 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.13 : 92.06 = 92.06 : x
  2. Step 2: Convert to fraction form
    58.13/92.06 = 92.06/x
  3. Step 3: Cross multiply
    58.13x = 92.06 × 92.06
  4. Step 4: Simplify right side
    58.13x = 8,475.50
  5. Step 5: Solve for x
    x = 8,475.50/58.13
  6. Step 6: Final answer
    x = 145.82

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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.