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Finding the Third Proportional to 79,364 and 105,798

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Solution

The third proportional to 79,364 and 105,798 is: 141,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,364 : 105,798 = 105,798 : x
  2. Step 2: Convert to fraction form
    79,364/105,798 = 105,798/x
  3. Step 3: Cross multiply
    79,364x = 105,798 × 105,798
  4. Step 4: Simplify right side
    79,364x = 11,193,216,804
  5. Step 5: Solve for x
    x = 11,193,216,804/79,364
  6. Step 6: Final answer
    x = 141,036.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.