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Finding the Third Proportional to 53,962.88 and 118,632.94

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Solution

The third proportional to 53,962.88 and 118,632.94 is: 260,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,962.88 : 118,632.94 = 118,632.94 : x
  2. Step 2: Convert to fraction form
    53,962.88/118,632.94 = 118,632.94/x
  3. Step 3: Cross multiply
    53,962.88x = 118,632.94 × 118,632.94
  4. Step 4: Simplify right side
    53,962.88x = 14,073,773,859.88
  5. Step 5: Solve for x
    x = 14,073,773,859.88/53,962.88
  6. Step 6: Final answer
    x = 260,804.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.