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Finding the Third Proportional to 62,964 and 96,120

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Solution

The third proportional to 62,964 and 96,120 is: 146,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,964 : 96,120 = 96,120 : x
  2. Step 2: Convert to fraction form
    62,964/96,120 = 96,120/x
  3. Step 3: Cross multiply
    62,964x = 96,120 × 96,120
  4. Step 4: Simplify right side
    62,964x = 9,239,054,400
  5. Step 5: Solve for x
    x = 9,239,054,400/62,964
  6. Step 6: Final answer
    x = 146,735.51

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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.