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Finding the Third Proportional to 89,517 and 121,144.50

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Solution

The third proportional to 89,517 and 121,144.50 is: 163,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,517 : 121,144.50 = 121,144.50 : x
  2. Step 2: Convert to fraction form
    89,517/121,144.50 = 121,144.50/x
  3. Step 3: Cross multiply
    89,517x = 121,144.50 × 121,144.50
  4. Step 4: Simplify right side
    89,517x = 14,675,989,880.25
  5. Step 5: Solve for x
    x = 14,675,989,880.25/89,517
  6. Step 6: Final answer
    x = 163,946.40

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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.