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Finding the Third Proportional to 56.95 and 88.99

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Solution

The third proportional to 56.95 and 88.99 is: 139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.95 : 88.99 = 88.99 : x
  2. Step 2: Convert to fraction form
    56.95/88.99 = 88.99/x
  3. Step 3: Cross multiply
    56.95x = 88.99 × 88.99
  4. Step 4: Simplify right side
    56.95x = 7,919.09
  5. Step 5: Solve for x
    x = 7,919.09/56.95
  6. Step 6: Final answer
    x = 139.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.