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Finding the Third Proportional to 61,701.75 and 134,708.06

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Solution

The third proportional to 61,701.75 and 134,708.06 is: 294,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701.75 : 134,708.06 = 134,708.06 : x
  2. Step 2: Convert to fraction form
    61,701.75/134,708.06 = 134,708.06/x
  3. Step 3: Cross multiply
    61,701.75x = 134,708.06 × 134,708.06
  4. Step 4: Simplify right side
    61,701.75x = 18,146,262,102.50
  5. Step 5: Solve for x
    x = 18,146,262,102.50/61,701.75
  6. Step 6: Final answer
    x = 294,096.39

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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.