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Finding the Third Proportional to 77,058 and 122,269.50

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Solution

The third proportional to 77,058 and 122,269.50 is: 194,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058 : 122,269.50 = 122,269.50 : x
  2. Step 2: Convert to fraction form
    77,058/122,269.50 = 122,269.50/x
  3. Step 3: Cross multiply
    77,058x = 122,269.50 × 122,269.50
  4. Step 4: Simplify right side
    77,058x = 14,949,830,630.25
  5. Step 5: Solve for x
    x = 14,949,830,630.25/77,058
  6. Step 6: Final answer
    x = 194,007.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.