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Finding the Third Proportional to 42,918.75 and 93,226.50

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Solution

The third proportional to 42,918.75 and 93,226.50 is: 202,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,918.75 : 93,226.50 = 93,226.50 : x
  2. Step 2: Convert to fraction form
    42,918.75/93,226.50 = 93,226.50/x
  3. Step 3: Cross multiply
    42,918.75x = 93,226.50 × 93,226.50
  4. Step 4: Simplify right side
    42,918.75x = 8,691,180,302.25
  5. Step 5: Solve for x
    x = 8,691,180,302.25/42,918.75
  6. Step 6: Final answer
    x = 202,503.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.