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Finding the Third Proportional to 53,094 and 81,484

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Solution

The third proportional to 53,094 and 81,484 is: 125,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,094 : 81,484 = 81,484 : x
  2. Step 2: Convert to fraction form
    53,094/81,484 = 81,484/x
  3. Step 3: Cross multiply
    53,094x = 81,484 × 81,484
  4. Step 4: Simplify right side
    53,094x = 6,639,642,256
  5. Step 5: Solve for x
    x = 6,639,642,256/53,094
  6. Step 6: Final answer
    x = 125,054.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.