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Finding the Third Proportional to 63,698 and 134,989

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Solution

The third proportional to 63,698 and 134,989 is: 286,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,698 : 134,989 = 134,989 : x
  2. Step 2: Convert to fraction form
    63,698/134,989 = 134,989/x
  3. Step 3: Cross multiply
    63,698x = 134,989 × 134,989
  4. Step 4: Simplify right side
    63,698x = 18,222,030,121
  5. Step 5: Solve for x
    x = 18,222,030,121/63,698
  6. Step 6: Final answer
    x = 286,069.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.