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Finding the Third Proportional to 53,268 and 88,094

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Solution

The third proportional to 53,268 and 88,094 is: 145,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,268 : 88,094 = 88,094 : x
  2. Step 2: Convert to fraction form
    53,268/88,094 = 88,094/x
  3. Step 3: Cross multiply
    53,268x = 88,094 × 88,094
  4. Step 4: Simplify right side
    53,268x = 7,760,552,836
  5. Step 5: Solve for x
    x = 7,760,552,836/53,268
  6. Step 6: Final answer
    x = 145,688.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.