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Finding the Third Proportional to 64,285 and 93,913

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Solution

The third proportional to 64,285 and 93,913 is: 137,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,285 : 93,913 = 93,913 : x
  2. Step 2: Convert to fraction form
    64,285/93,913 = 93,913/x
  3. Step 3: Cross multiply
    64,285x = 93,913 × 93,913
  4. Step 4: Simplify right side
    64,285x = 8,819,651,569
  5. Step 5: Solve for x
    x = 8,819,651,569/64,285
  6. Step 6: Final answer
    x = 137,196.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.