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Finding the Third Proportional to 119,010.75 and 163,191.75

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Solution

The third proportional to 119,010.75 and 163,191.75 is: 223,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,010.75 : 163,191.75 = 163,191.75 : x
  2. Step 2: Convert to fraction form
    119,010.75/163,191.75 = 163,191.75/x
  3. Step 3: Cross multiply
    119,010.75x = 163,191.75 × 163,191.75
  4. Step 4: Simplify right side
    119,010.75x = 26,631,547,268.06
  5. Step 5: Solve for x
    x = 26,631,547,268.06/119,010.75
  6. Step 6: Final answer
    x = 223,774.30

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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.