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Finding the Third Proportional to 64,764.50 and 152,665

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Solution

The third proportional to 64,764.50 and 152,665 is: 359,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764.50 : 152,665 = 152,665 : x
  2. Step 2: Convert to fraction form
    64,764.50/152,665 = 152,665/x
  3. Step 3: Cross multiply
    64,764.50x = 152,665 × 152,665
  4. Step 4: Simplify right side
    64,764.50x = 23,306,602,225
  5. Step 5: Solve for x
    x = 23,306,602,225/64,764.50
  6. Step 6: Final answer
    x = 359,866.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.