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Finding the Third Proportional to 42,913 and 92,283.50

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Solution

The third proportional to 42,913 and 92,283.50 is: 198,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,913 : 92,283.50 = 92,283.50 : x
  2. Step 2: Convert to fraction form
    42,913/92,283.50 = 92,283.50/x
  3. Step 3: Cross multiply
    42,913x = 92,283.50 × 92,283.50
  4. Step 4: Simplify right side
    42,913x = 8,516,244,372.25
  5. Step 5: Solve for x
    x = 8,516,244,372.25/42,913
  6. Step 6: Final answer
    x = 198,453.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.