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Finding the Third Proportional to 66,842.25 and 148,628.25

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Solution

The third proportional to 66,842.25 and 148,628.25 is: 330,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,842.25 : 148,628.25 = 148,628.25 : x
  2. Step 2: Convert to fraction form
    66,842.25/148,628.25 = 148,628.25/x
  3. Step 3: Cross multiply
    66,842.25x = 148,628.25 × 148,628.25
  4. Step 4: Simplify right side
    66,842.25x = 22,090,356,698.06
  5. Step 5: Solve for x
    x = 22,090,356,698.06/66,842.25
  6. Step 6: Final answer
    x = 330,484.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.