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Finding the Third Proportional to 62,838 and 88,911

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Solution

The third proportional to 62,838 and 88,911 is: 125,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,838 : 88,911 = 88,911 : x
  2. Step 2: Convert to fraction form
    62,838/88,911 = 88,911/x
  3. Step 3: Cross multiply
    62,838x = 88,911 × 88,911
  4. Step 4: Simplify right side
    62,838x = 7,905,165,921
  5. Step 5: Solve for x
    x = 7,905,165,921/62,838
  6. Step 6: Final answer
    x = 125,802.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.