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Finding the Third Proportional to 59,285 and 90,433

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Solution

The third proportional to 59,285 and 90,433 is: 137,945.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,285 : 90,433 = 90,433 : x
  2. Step 2: Convert to fraction form
    59,285/90,433 = 90,433/x
  3. Step 3: Cross multiply
    59,285x = 90,433 × 90,433
  4. Step 4: Simplify right side
    59,285x = 8,178,127,489
  5. Step 5: Solve for x
    x = 8,178,127,489/59,285
  6. Step 6: Final answer
    x = 137,945.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.