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Finding the Third Proportional to 64,712 and 96,972

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Solution

The third proportional to 64,712 and 96,972 is: 145,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,712 : 96,972 = 96,972 : x
  2. Step 2: Convert to fraction form
    64,712/96,972 = 96,972/x
  3. Step 3: Cross multiply
    64,712x = 96,972 × 96,972
  4. Step 4: Simplify right side
    64,712x = 9,403,568,784
  5. Step 5: Solve for x
    x = 9,403,568,784/64,712
  6. Step 6: Final answer
    x = 145,314.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.