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Finding the Third Proportional to 64,063 and 137,968

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Solution

The third proportional to 64,063 and 137,968 is: 297,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,063 : 137,968 = 137,968 : x
  2. Step 2: Convert to fraction form
    64,063/137,968 = 137,968/x
  3. Step 3: Cross multiply
    64,063x = 137,968 × 137,968
  4. Step 4: Simplify right side
    64,063x = 19,035,169,024
  5. Step 5: Solve for x
    x = 19,035,169,024/64,063
  6. Step 6: Final answer
    x = 297,132.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.