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Finding the Third Proportional to 103,726 and 141,955.75

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Solution

The third proportional to 103,726 and 141,955.75 is: 194,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,726 : 141,955.75 = 141,955.75 : x
  2. Step 2: Convert to fraction form
    103,726/141,955.75 = 141,955.75/x
  3. Step 3: Cross multiply
    103,726x = 141,955.75 × 141,955.75
  4. Step 4: Simplify right side
    103,726x = 20,151,434,958.06
  5. Step 5: Solve for x
    x = 20,151,434,958.06/103,726
  6. Step 6: Final answer
    x = 194,275.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.