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Finding the Third Proportional to 66,017.81 and 142,556.63

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Solution

The third proportional to 66,017.81 and 142,556.63 is: 307,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,017.81 : 142,556.63 = 142,556.63 : x
  2. Step 2: Convert to fraction form
    66,017.81/142,556.63 = 142,556.63/x
  3. Step 3: Cross multiply
    66,017.81x = 142,556.63 × 142,556.63
  4. Step 4: Simplify right side
    66,017.81x = 20,322,391,331.39
  5. Step 5: Solve for x
    x = 20,322,391,331.39/66,017.81
  6. Step 6: Final answer
    x = 307,831.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.