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Finding the Third Proportional to 64,765.50 and 152,667.50

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Solution

The third proportional to 64,765.50 and 152,667.50 is: 359,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,765.50 : 152,667.50 = 152,667.50 : x
  2. Step 2: Convert to fraction form
    64,765.50/152,667.50 = 152,667.50/x
  3. Step 3: Cross multiply
    64,765.50x = 152,667.50 × 152,667.50
  4. Step 4: Simplify right side
    64,765.50x = 23,307,365,556.25
  5. Step 5: Solve for x
    x = 23,307,365,556.25/64,765.50
  6. Step 6: Final answer
    x = 359,873.17

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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.