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Finding the Third Proportional to 53,141 and 81,417

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Solution

The third proportional to 53,141 and 81,417 is: 124,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,141 : 81,417 = 81,417 : x
  2. Step 2: Convert to fraction form
    53,141/81,417 = 81,417/x
  3. Step 3: Cross multiply
    53,141x = 81,417 × 81,417
  4. Step 4: Simplify right side
    53,141x = 6,628,727,889
  5. Step 5: Solve for x
    x = 6,628,727,889/53,141
  6. Step 6: Final answer
    x = 124,738.49

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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.