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Finding the Third Proportional to 77,984 and 125,590

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Solution

The third proportional to 77,984 and 125,590 is: 202,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,984 : 125,590 = 125,590 : x
  2. Step 2: Convert to fraction form
    77,984/125,590 = 125,590/x
  3. Step 3: Cross multiply
    77,984x = 125,590 × 125,590
  4. Step 4: Simplify right side
    77,984x = 15,772,848,100
  5. Step 5: Solve for x
    x = 15,772,848,100/77,984
  6. Step 6: Final answer
    x = 202,257.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.