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Finding the Third Proportional to 58.88 and 89.81

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Solution

The third proportional to 58.88 and 89.81 is: 137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.88 : 89.81 = 89.81 : x
  2. Step 2: Convert to fraction form
    58.88/89.81 = 89.81/x
  3. Step 3: Cross multiply
    58.88x = 89.81 × 89.81
  4. Step 4: Simplify right side
    58.88x = 8,066.29
  5. Step 5: Solve for x
    x = 8,066.29/58.88
  6. Step 6: Final answer
    x = 137.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.