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Finding the Third Proportional to 65,664 and 96,768

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Solution

The third proportional to 65,664 and 96,768 is: 142,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664 : 96,768 = 96,768 : x
  2. Step 2: Convert to fraction form
    65,664/96,768 = 96,768/x
  3. Step 3: Cross multiply
    65,664x = 96,768 × 96,768
  4. Step 4: Simplify right side
    65,664x = 9,364,045,824
  5. Step 5: Solve for x
    x = 9,364,045,824/65,664
  6. Step 6: Final answer
    x = 142,605.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.