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Finding the Third Proportional to 62,928 and 96,032.25

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Solution

The third proportional to 62,928 and 96,032.25 is: 146,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,928 : 96,032.25 = 96,032.25 : x
  2. Step 2: Convert to fraction form
    62,928/96,032.25 = 96,032.25/x
  3. Step 3: Cross multiply
    62,928x = 96,032.25 × 96,032.25
  4. Step 4: Simplify right side
    62,928x = 9,222,193,040.06
  5. Step 5: Solve for x
    x = 9,222,193,040.06/62,928
  6. Step 6: Final answer
    x = 146,551.50

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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.