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Finding the Third Proportional to 64,951.13 and 103,429.88

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Solution

The third proportional to 64,951.13 and 103,429.88 is: 164,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,951.13 : 103,429.88 = 103,429.88 : x
  2. Step 2: Convert to fraction form
    64,951.13/103,429.88 = 103,429.88/x
  3. Step 3: Cross multiply
    64,951.13x = 103,429.88 × 103,429.88
  4. Step 4: Simplify right side
    64,951.13x = 10,697,739,042.52
  5. Step 5: Solve for x
    x = 10,697,739,042.52/64,951.13
  6. Step 6: Final answer
    x = 164,704.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.