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Finding the Third Proportional to 64,934.44 and 103,732.03

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Solution

The third proportional to 64,934.44 and 103,732.03 is: 165,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934.44 : 103,732.03 = 103,732.03 : x
  2. Step 2: Convert to fraction form
    64,934.44/103,732.03 = 103,732.03/x
  3. Step 3: Cross multiply
    64,934.44x = 103,732.03 × 103,732.03
  4. Step 4: Simplify right side
    64,934.44x = 10,760,334,307.25
  5. Step 5: Solve for x
    x = 10,760,334,307.25/64,934.44
  6. Step 6: Final answer
    x = 165,710.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.