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Finding the Third Proportional to 58,692 and 122,248

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Solution

The third proportional to 58,692 and 122,248 is: 254,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,692 : 122,248 = 122,248 : x
  2. Step 2: Convert to fraction form
    58,692/122,248 = 122,248/x
  3. Step 3: Cross multiply
    58,692x = 122,248 × 122,248
  4. Step 4: Simplify right side
    58,692x = 14,944,573,504
  5. Step 5: Solve for x
    x = 14,944,573,504/58,692
  6. Step 6: Final answer
    x = 254,627.10

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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.