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Finding the Third Proportional to 74,686.50 and 118,319.25

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Solution

The third proportional to 74,686.50 and 118,319.25 is: 187,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,686.50 : 118,319.25 = 118,319.25 : x
  2. Step 2: Convert to fraction form
    74,686.50/118,319.25 = 118,319.25/x
  3. Step 3: Cross multiply
    74,686.50x = 118,319.25 × 118,319.25
  4. Step 4: Simplify right side
    74,686.50x = 13,999,444,920.56
  5. Step 5: Solve for x
    x = 13,999,444,920.56/74,686.50
  6. Step 6: Final answer
    x = 187,442.78

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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.