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Finding the Third Proportional to 61,112.81 and 127,806.19

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Solution

The third proportional to 61,112.81 and 127,806.19 is: 267,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,112.81 : 127,806.19 = 127,806.19 : x
  2. Step 2: Convert to fraction form
    61,112.81/127,806.19 = 127,806.19/x
  3. Step 3: Cross multiply
    61,112.81x = 127,806.19 × 127,806.19
  4. Step 4: Simplify right side
    61,112.81x = 16,334,421,563.29
  5. Step 5: Solve for x
    x = 16,334,421,563.29/61,112.81
  6. Step 6: Final answer
    x = 267,283.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.