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Finding the Third Proportional to 43,143 and 92,284.50

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Solution

The third proportional to 43,143 and 92,284.50 is: 197,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,143 : 92,284.50 = 92,284.50 : x
  2. Step 2: Convert to fraction form
    43,143/92,284.50 = 92,284.50/x
  3. Step 3: Cross multiply
    43,143x = 92,284.50 × 92,284.50
  4. Step 4: Simplify right side
    43,143x = 8,516,428,940.25
  5. Step 5: Solve for x
    x = 8,516,428,940.25/43,143
  6. Step 6: Final answer
    x = 197,400.02

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Why These Related Problems?

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