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Finding the Third Proportional to 64,306 and 102,328

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Solution

The third proportional to 64,306 and 102,328 is: 162,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,306 : 102,328 = 102,328 : x
  2. Step 2: Convert to fraction form
    64,306/102,328 = 102,328/x
  3. Step 3: Cross multiply
    64,306x = 102,328 × 102,328
  4. Step 4: Simplify right side
    64,306x = 10,471,019,584
  5. Step 5: Solve for x
    x = 10,471,019,584/64,306
  6. Step 6: Final answer
    x = 162,831.14

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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.