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Finding the Third Proportional to 66,604 and 142,707.50

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Solution

The third proportional to 66,604 and 142,707.50 is: 305,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,604 : 142,707.50 = 142,707.50 : x
  2. Step 2: Convert to fraction form
    66,604/142,707.50 = 142,707.50/x
  3. Step 3: Cross multiply
    66,604x = 142,707.50 × 142,707.50
  4. Step 4: Simplify right side
    66,604x = 20,365,430,556.25
  5. Step 5: Solve for x
    x = 20,365,430,556.25/66,604
  6. Step 6: Final answer
    x = 305,768.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.