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Finding the Third Proportional to 67,410 and 143,554.50

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Solution

The third proportional to 67,410 and 143,554.50 is: 305,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,410 : 143,554.50 = 143,554.50 : x
  2. Step 2: Convert to fraction form
    67,410/143,554.50 = 143,554.50/x
  3. Step 3: Cross multiply
    67,410x = 143,554.50 × 143,554.50
  4. Step 4: Simplify right side
    67,410x = 20,607,894,470.25
  5. Step 5: Solve for x
    x = 20,607,894,470.25/67,410
  6. Step 6: Final answer
    x = 305,709.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.