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Finding the Third Proportional to 64,219 and 102,277

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Solution

The third proportional to 64,219 and 102,277 is: 162,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,219 : 102,277 = 102,277 : x
  2. Step 2: Convert to fraction form
    64,219/102,277 = 102,277/x
  3. Step 3: Cross multiply
    64,219x = 102,277 × 102,277
  4. Step 4: Simplify right side
    64,219x = 10,460,584,729
  5. Step 5: Solve for x
    x = 10,460,584,729/64,219
  6. Step 6: Final answer
    x = 162,889.25

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Why These Related Problems?

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