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Finding the Third Proportional to 55,434.50 and 121,591.50

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Solution

The third proportional to 55,434.50 and 121,591.50 is: 266,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,434.50 : 121,591.50 = 121,591.50 : x
  2. Step 2: Convert to fraction form
    55,434.50/121,591.50 = 121,591.50/x
  3. Step 3: Cross multiply
    55,434.50x = 121,591.50 × 121,591.50
  4. Step 4: Simplify right side
    55,434.50x = 14,784,492,872.25
  5. Step 5: Solve for x
    x = 14,784,492,872.25/55,434.50
  6. Step 6: Final answer
    x = 266,702.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.