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Finding the Third Proportional to 62,838 and 134,774

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Solution

The third proportional to 62,838 and 134,774 is: 289,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,838 : 134,774 = 134,774 : x
  2. Step 2: Convert to fraction form
    62,838/134,774 = 134,774/x
  3. Step 3: Cross multiply
    62,838x = 134,774 × 134,774
  4. Step 4: Simplify right side
    62,838x = 18,164,031,076
  5. Step 5: Solve for x
    x = 18,164,031,076/62,838
  6. Step 6: Final answer
    x = 289,061.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.