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Finding the Third Proportional to 53,106 and 81,501

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Solution

The third proportional to 53,106 and 81,501 is: 125,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,106 : 81,501 = 81,501 : x
  2. Step 2: Convert to fraction form
    53,106/81,501 = 81,501/x
  3. Step 3: Cross multiply
    53,106x = 81,501 × 81,501
  4. Step 4: Simplify right side
    53,106x = 6,642,413,001
  5. Step 5: Solve for x
    x = 6,642,413,001/53,106
  6. Step 6: Final answer
    x = 125,078.39

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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.