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Finding the Third Proportional to 59,297.06 and 127,661.06

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Solution

The third proportional to 59,297.06 and 127,661.06 is: 274,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,297.06 : 127,661.06 = 127,661.06 : x
  2. Step 2: Convert to fraction form
    59,297.06/127,661.06 = 127,661.06/x
  3. Step 3: Cross multiply
    59,297.06x = 127,661.06 × 127,661.06
  4. Step 4: Simplify right side
    59,297.06x = 16,297,346,878.63
  5. Step 5: Solve for x
    x = 16,297,346,878.63/59,297.06
  6. Step 6: Final answer
    x = 274,842.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.