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Finding the Third Proportional to 59,573 and 127,783

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Solution

The third proportional to 59,573 and 127,783 is: 274,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,573 : 127,783 = 127,783 : x
  2. Step 2: Convert to fraction form
    59,573/127,783 = 127,783/x
  3. Step 3: Cross multiply
    59,573x = 127,783 × 127,783
  4. Step 4: Simplify right side
    59,573x = 16,328,495,089
  5. Step 5: Solve for x
    x = 16,328,495,089/59,573
  6. Step 6: Final answer
    x = 274,092.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.