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Finding the Third Proportional to 64,869 and 94,968

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Solution

The third proportional to 64,869 and 94,968 is: 139,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,869 : 94,968 = 94,968 : x
  2. Step 2: Convert to fraction form
    64,869/94,968 = 94,968/x
  3. Step 3: Cross multiply
    64,869x = 94,968 × 94,968
  4. Step 4: Simplify right side
    64,869x = 9,018,921,024
  5. Step 5: Solve for x
    x = 9,018,921,024/64,869
  6. Step 6: Final answer
    x = 139,032.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.