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Finding the Third Proportional to 70,260 and 101,563.50

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Solution

The third proportional to 70,260 and 101,563.50 is: 146,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,260 : 101,563.50 = 101,563.50 : x
  2. Step 2: Convert to fraction form
    70,260/101,563.50 = 101,563.50/x
  3. Step 3: Cross multiply
    70,260x = 101,563.50 × 101,563.50
  4. Step 4: Simplify right side
    70,260x = 10,315,144,532.25
  5. Step 5: Solve for x
    x = 10,315,144,532.25/70,260
  6. Step 6: Final answer
    x = 146,813.90

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.