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Finding the Third Proportional to 74,692 and 118,328

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Solution

The third proportional to 74,692 and 118,328 is: 187,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,692 : 118,328 = 118,328 : x
  2. Step 2: Convert to fraction form
    74,692/118,328 = 118,328/x
  3. Step 3: Cross multiply
    74,692x = 118,328 × 118,328
  4. Step 4: Simplify right side
    74,692x = 14,001,515,584
  5. Step 5: Solve for x
    x = 14,001,515,584/74,692
  6. Step 6: Final answer
    x = 187,456.70

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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.