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Finding the Third Proportional to 64,023.75 and 96,915.94

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Solution

The third proportional to 64,023.75 and 96,915.94 is: 146,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,023.75 : 96,915.94 = 96,915.94 : x
  2. Step 2: Convert to fraction form
    64,023.75/96,915.94 = 96,915.94/x
  3. Step 3: Cross multiply
    64,023.75x = 96,915.94 × 96,915.94
  4. Step 4: Simplify right side
    64,023.75x = 9,392,698,941.50
  5. Step 5: Solve for x
    x = 9,392,698,941.50/64,023.75
  6. Step 6: Final answer
    x = 146,706.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.