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Finding the Third Proportional to 53,356 and 118,011

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Solution

The third proportional to 53,356 and 118,011 is: 261,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,356 : 118,011 = 118,011 : x
  2. Step 2: Convert to fraction form
    53,356/118,011 = 118,011/x
  3. Step 3: Cross multiply
    53,356x = 118,011 × 118,011
  4. Step 4: Simplify right side
    53,356x = 13,926,596,121
  5. Step 5: Solve for x
    x = 13,926,596,121/53,356
  6. Step 6: Final answer
    x = 261,012.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.