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Finding the Third Proportional to 42,579 and 90,715.50

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Solution

The third proportional to 42,579 and 90,715.50 is: 193,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,579 : 90,715.50 = 90,715.50 : x
  2. Step 2: Convert to fraction form
    42,579/90,715.50 = 90,715.50/x
  3. Step 3: Cross multiply
    42,579x = 90,715.50 × 90,715.50
  4. Step 4: Simplify right side
    42,579x = 8,229,301,940.25
  5. Step 5: Solve for x
    x = 8,229,301,940.25/42,579
  6. Step 6: Final answer
    x = 193,271.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.