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Finding the Third Proportional to 34,423 and 75,326

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Solution

The third proportional to 34,423 and 75,326 is: 164,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,423 : 75,326 = 75,326 : x
  2. Step 2: Convert to fraction form
    34,423/75,326 = 75,326/x
  3. Step 3: Cross multiply
    34,423x = 75,326 × 75,326
  4. Step 4: Simplify right side
    34,423x = 5,674,006,276
  5. Step 5: Solve for x
    x = 5,674,006,276/34,423
  6. Step 6: Final answer
    x = 164,831.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.