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Finding the Third Proportional to 58,695 and 122,254

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Solution

The third proportional to 58,695 and 122,254 is: 254,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,695 : 122,254 = 122,254 : x
  2. Step 2: Convert to fraction form
    58,695/122,254 = 122,254/x
  3. Step 3: Cross multiply
    58,695x = 122,254 × 122,254
  4. Step 4: Simplify right side
    58,695x = 14,946,040,516
  5. Step 5: Solve for x
    x = 14,946,040,516/58,695
  6. Step 6: Final answer
    x = 254,639.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.