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Finding the Third Proportional to 64,836 and 95,148

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Solution

The third proportional to 64,836 and 95,148 is: 139,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,836 : 95,148 = 95,148 : x
  2. Step 2: Convert to fraction form
    64,836/95,148 = 95,148/x
  3. Step 3: Cross multiply
    64,836x = 95,148 × 95,148
  4. Step 4: Simplify right side
    64,836x = 9,053,141,904
  5. Step 5: Solve for x
    x = 9,053,141,904/64,836
  6. Step 6: Final answer
    x = 139,631.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.