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Finding the Third Proportional to 65,673 and 104,007.38

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Solution

The third proportional to 65,673 and 104,007.38 is: 164,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,673 : 104,007.38 = 104,007.38 : x
  2. Step 2: Convert to fraction form
    65,673/104,007.38 = 104,007.38/x
  3. Step 3: Cross multiply
    65,673x = 104,007.38 × 104,007.38
  4. Step 4: Simplify right side
    65,673x = 10,817,534,054.39
  5. Step 5: Solve for x
    x = 10,817,534,054.39/65,673
  6. Step 6: Final answer
    x = 164,718.13

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.