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Finding the Third Proportional to 91,752 and 140,260

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Solution

The third proportional to 91,752 and 140,260 is: 214,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,752 : 140,260 = 140,260 : x
  2. Step 2: Convert to fraction form
    91,752/140,260 = 140,260/x
  3. Step 3: Cross multiply
    91,752x = 140,260 × 140,260
  4. Step 4: Simplify right side
    91,752x = 19,672,867,600
  5. Step 5: Solve for x
    x = 19,672,867,600/91,752
  6. Step 6: Final answer
    x = 214,413.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.