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Finding the Third Proportional to 42,552 and 90,699.75

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Solution

The third proportional to 42,552 and 90,699.75 is: 193,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,552 : 90,699.75 = 90,699.75 : x
  2. Step 2: Convert to fraction form
    42,552/90,699.75 = 90,699.75/x
  3. Step 3: Cross multiply
    42,552x = 90,699.75 × 90,699.75
  4. Step 4: Simplify right side
    42,552x = 8,226,444,650.06
  5. Step 5: Solve for x
    x = 8,226,444,650.06/42,552
  6. Step 6: Final answer
    x = 193,326.86

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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.