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Finding the Third Proportional to 64,032 and 92,507

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Solution

The third proportional to 64,032 and 92,507 is: 133,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,032 : 92,507 = 92,507 : x
  2. Step 2: Convert to fraction form
    64,032/92,507 = 92,507/x
  3. Step 3: Cross multiply
    64,032x = 92,507 × 92,507
  4. Step 4: Simplify right side
    64,032x = 8,557,545,049
  5. Step 5: Solve for x
    x = 8,557,545,049/64,032
  6. Step 6: Final answer
    x = 133,644.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.