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Finding the Third Proportional to 64,015 and 96,907

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Solution

The third proportional to 64,015 and 96,907 is: 146,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,015 : 96,907 = 96,907 : x
  2. Step 2: Convert to fraction form
    64,015/96,907 = 96,907/x
  3. Step 3: Cross multiply
    64,015x = 96,907 × 96,907
  4. Step 4: Simplify right side
    64,015x = 9,390,966,649
  5. Step 5: Solve for x
    x = 9,390,966,649/64,015
  6. Step 6: Final answer
    x = 146,699.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.