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Finding the Third Proportional to 122,258 and 187,016

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Solution

The third proportional to 122,258 and 187,016 is: 286,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,258 : 187,016 = 187,016 : x
  2. Step 2: Convert to fraction form
    122,258/187,016 = 187,016/x
  3. Step 3: Cross multiply
    122,258x = 187,016 × 187,016
  4. Step 4: Simplify right side
    122,258x = 34,974,984,256
  5. Step 5: Solve for x
    x = 34,974,984,256/122,258
  6. Step 6: Final answer
    x = 286,075.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.