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Finding the Third Proportional to 74,928 and 160,543.50

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Solution

The third proportional to 74,928 and 160,543.50 is: 343,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,928 : 160,543.50 = 160,543.50 : x
  2. Step 2: Convert to fraction form
    74,928/160,543.50 = 160,543.50/x
  3. Step 3: Cross multiply
    74,928x = 160,543.50 × 160,543.50
  4. Step 4: Simplify right side
    74,928x = 25,774,215,392.25
  5. Step 5: Solve for x
    x = 25,774,215,392.25/74,928
  6. Step 6: Final answer
    x = 343,986.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.