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Finding the Third Proportional to 74,706 and 118,348.50

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Solution

The third proportional to 74,706 and 118,348.50 is: 187,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,706 : 118,348.50 = 118,348.50 : x
  2. Step 2: Convert to fraction form
    74,706/118,348.50 = 118,348.50/x
  3. Step 3: Cross multiply
    74,706x = 118,348.50 × 118,348.50
  4. Step 4: Simplify right side
    74,706x = 14,006,367,452.25
  5. Step 5: Solve for x
    x = 14,006,367,452.25/74,706
  6. Step 6: Final answer
    x = 187,486.51

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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.