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Finding the Third Proportional to 74,628 and 118,167

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Solution

The third proportional to 74,628 and 118,167 is: 187,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,628 : 118,167 = 118,167 : x
  2. Step 2: Convert to fraction form
    74,628/118,167 = 118,167/x
  3. Step 3: Cross multiply
    74,628x = 118,167 × 118,167
  4. Step 4: Simplify right side
    74,628x = 13,963,439,889
  5. Step 5: Solve for x
    x = 13,963,439,889/74,628
  6. Step 6: Final answer
    x = 187,107.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.