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Finding the Third Proportional to 93 and 99.50

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Solution

The third proportional to 93 and 99.50 is: 106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93 : 99.50 = 99.50 : x
  2. Step 2: Convert to fraction form
    93/99.50 = 99.50/x
  3. Step 3: Cross multiply
    93x = 99.50 × 99.50
  4. Step 4: Simplify right side
    93x = 9,900.25
  5. Step 5: Solve for x
    x = 9,900.25/93
  6. Step 6: Final answer
    x = 106.45

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.