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Finding the Third Proportional to 70.24 and 93.02

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Solution

The third proportional to 70.24 and 93.02 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 93.02 = 93.02 : x
  2. Step 2: Convert to fraction form
    70.24/93.02 = 93.02/x
  3. Step 3: Cross multiply
    70.24x = 93.02 × 93.02
  4. Step 4: Simplify right side
    70.24x = 8,653.36
  5. Step 5: Solve for x
    x = 8,653.36/70.24
  6. Step 6: Final answer
    x = 123.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.