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Finding the Third Proportional to 52,232 and 117,989

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Solution

The third proportional to 52,232 and 117,989 is: 266,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,232 : 117,989 = 117,989 : x
  2. Step 2: Convert to fraction form
    52,232/117,989 = 117,989/x
  3. Step 3: Cross multiply
    52,232x = 117,989 × 117,989
  4. Step 4: Simplify right side
    52,232x = 13,921,404,121
  5. Step 5: Solve for x
    x = 13,921,404,121/52,232
  6. Step 6: Final answer
    x = 266,530.18

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.