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Finding the Third Proportional to 66,106 and 100,708

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Solution

The third proportional to 66,106 and 100,708 is: 153,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106 : 100,708 = 100,708 : x
  2. Step 2: Convert to fraction form
    66,106/100,708 = 100,708/x
  3. Step 3: Cross multiply
    66,106x = 100,708 × 100,708
  4. Step 4: Simplify right side
    66,106x = 10,142,101,264
  5. Step 5: Solve for x
    x = 10,142,101,264/66,106
  6. Step 6: Final answer
    x = 153,421.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.