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Finding the Third Proportional to 64,054 and 102,326

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Solution

The third proportional to 64,054 and 102,326 is: 163,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,054 : 102,326 = 102,326 : x
  2. Step 2: Convert to fraction form
    64,054/102,326 = 102,326/x
  3. Step 3: Cross multiply
    64,054x = 102,326 × 102,326
  4. Step 4: Simplify right side
    64,054x = 10,470,610,276
  5. Step 5: Solve for x
    x = 10,470,610,276/64,054
  6. Step 6: Final answer
    x = 163,465.36

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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.