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Finding the Third Proportional to 53,371 and 114,989

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Solution

The third proportional to 53,371 and 114,989 is: 247,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,371 : 114,989 = 114,989 : x
  2. Step 2: Convert to fraction form
    53,371/114,989 = 114,989/x
  3. Step 3: Cross multiply
    53,371x = 114,989 × 114,989
  4. Step 4: Simplify right side
    53,371x = 13,222,470,121
  5. Step 5: Solve for x
    x = 13,222,470,121/53,371
  6. Step 6: Final answer
    x = 247,746.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.