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Finding the Third Proportional to 61,701.75 and 134,713.13

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Solution

The third proportional to 61,701.75 and 134,713.13 is: 294,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701.75 : 134,713.13 = 134,713.13 : x
  2. Step 2: Convert to fraction form
    61,701.75/134,713.13 = 134,713.13/x
  3. Step 3: Cross multiply
    61,701.75x = 134,713.13 × 134,713.13
  4. Step 4: Simplify right side
    61,701.75x = 18,147,626,047.27
  5. Step 5: Solve for x
    x = 18,147,626,047.27/61,701.75
  6. Step 6: Final answer
    x = 294,118.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.