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Finding the Third Proportional to 63,068 and 96,969

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Solution

The third proportional to 63,068 and 96,969 is: 149,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,068 : 96,969 = 96,969 : x
  2. Step 2: Convert to fraction form
    63,068/96,969 = 96,969/x
  3. Step 3: Cross multiply
    63,068x = 96,969 × 96,969
  4. Step 4: Simplify right side
    63,068x = 9,402,986,961
  5. Step 5: Solve for x
    x = 9,402,986,961/63,068
  6. Step 6: Final answer
    x = 149,092.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.