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Finding the Third Proportional to 92,971 and 140,329.50

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Solution

The third proportional to 92,971 and 140,329.50 is: 211,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,971 : 140,329.50 = 140,329.50 : x
  2. Step 2: Convert to fraction form
    92,971/140,329.50 = 140,329.50/x
  3. Step 3: Cross multiply
    92,971x = 140,329.50 × 140,329.50
  4. Step 4: Simplify right side
    92,971x = 19,692,368,570.25
  5. Step 5: Solve for x
    x = 19,692,368,570.25/92,971
  6. Step 6: Final answer
    x = 211,811.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.