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Finding the Third Proportional to 32,056 and 69,044

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Solution

The third proportional to 32,056 and 69,044 is: 148,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056 : 69,044 = 69,044 : x
  2. Step 2: Convert to fraction form
    32,056/69,044 = 69,044/x
  3. Step 3: Cross multiply
    32,056x = 69,044 × 69,044
  4. Step 4: Simplify right side
    32,056x = 4,767,073,936
  5. Step 5: Solve for x
    x = 4,767,073,936/32,056
  6. Step 6: Final answer
    x = 148,710.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.