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Finding the Third Proportional to 53,065 and 115,973

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Solution

The third proportional to 53,065 and 115,973 is: 253,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065 : 115,973 = 115,973 : x
  2. Step 2: Convert to fraction form
    53,065/115,973 = 115,973/x
  3. Step 3: Cross multiply
    53,065x = 115,973 × 115,973
  4. Step 4: Simplify right side
    53,065x = 13,449,736,729
  5. Step 5: Solve for x
    x = 13,449,736,729/53,065
  6. Step 6: Final answer
    x = 253,457.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.