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Finding the Third Proportional to 53,028 and 117,096

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Solution

The third proportional to 53,028 and 117,096 is: 258,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,028 : 117,096 = 117,096 : x
  2. Step 2: Convert to fraction form
    53,028/117,096 = 117,096/x
  3. Step 3: Cross multiply
    53,028x = 117,096 × 117,096
  4. Step 4: Simplify right side
    53,028x = 13,711,473,216
  5. Step 5: Solve for x
    x = 13,711,473,216/53,028
  6. Step 6: Final answer
    x = 258,570.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.