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Finding the Third Proportional to 63,708 and 89,106

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Solution

The third proportional to 63,708 and 89,106 is: 124,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,708 : 89,106 = 89,106 : x
  2. Step 2: Convert to fraction form
    63,708/89,106 = 89,106/x
  3. Step 3: Cross multiply
    63,708x = 89,106 × 89,106
  4. Step 4: Simplify right side
    63,708x = 7,939,879,236
  5. Step 5: Solve for x
    x = 7,939,879,236/63,708
  6. Step 6: Final answer
    x = 124,629.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.