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Finding the Third Proportional to 107,187.75 and 147,111.75

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Solution

The third proportional to 107,187.75 and 147,111.75 is: 201,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,187.75 : 147,111.75 = 147,111.75 : x
  2. Step 2: Convert to fraction form
    107,187.75/147,111.75 = 147,111.75/x
  3. Step 3: Cross multiply
    107,187.75x = 147,111.75 × 147,111.75
  4. Step 4: Simplify right side
    107,187.75x = 21,641,866,988.06
  5. Step 5: Solve for x
    x = 21,641,866,988.06/107,187.75
  6. Step 6: Final answer
    x = 201,906.16

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Why These Related Problems?

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