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Finding the Third Proportional to 114,492 and 154,242

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Solution

The third proportional to 114,492 and 154,242 is: 207,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,492 : 154,242 = 154,242 : x
  2. Step 2: Convert to fraction form
    114,492/154,242 = 154,242/x
  3. Step 3: Cross multiply
    114,492x = 154,242 × 154,242
  4. Step 4: Simplify right side
    114,492x = 23,790,594,564
  5. Step 5: Solve for x
    x = 23,790,594,564/114,492
  6. Step 6: Final answer
    x = 207,792.64

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.