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Finding the Third Proportional to 64,644 and 96,576

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Solution

The third proportional to 64,644 and 96,576 is: 144,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,644 : 96,576 = 96,576 : x
  2. Step 2: Convert to fraction form
    64,644/96,576 = 96,576/x
  3. Step 3: Cross multiply
    64,644x = 96,576 × 96,576
  4. Step 4: Simplify right side
    64,644x = 9,326,923,776
  5. Step 5: Solve for x
    x = 9,326,923,776/64,644
  6. Step 6: Final answer
    x = 144,281.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.