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Finding the Third Proportional to 121,371 and 185,752

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Solution

The third proportional to 121,371 and 185,752 is: 284,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,371 : 185,752 = 185,752 : x
  2. Step 2: Convert to fraction form
    121,371/185,752 = 185,752/x
  3. Step 3: Cross multiply
    121,371x = 185,752 × 185,752
  4. Step 4: Simplify right side
    121,371x = 34,503,805,504
  5. Step 5: Solve for x
    x = 34,503,805,504/121,371
  6. Step 6: Final answer
    x = 284,283.77

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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.