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Finding the Third Proportional to 53,267.25 and 118,358.25

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Solution

The third proportional to 53,267.25 and 118,358.25 is: 262,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,267.25 : 118,358.25 = 118,358.25 : x
  2. Step 2: Convert to fraction form
    53,267.25/118,358.25 = 118,358.25/x
  3. Step 3: Cross multiply
    53,267.25x = 118,358.25 × 118,358.25
  4. Step 4: Simplify right side
    53,267.25x = 14,008,675,343.06
  5. Step 5: Solve for x
    x = 14,008,675,343.06/53,267.25
  6. Step 6: Final answer
    x = 262,988.52

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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.