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Finding the Third Proportional to 98,064 and 147,068

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Solution

The third proportional to 98,064 and 147,068 is: 220,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064 : 147,068 = 147,068 : x
  2. Step 2: Convert to fraction form
    98,064/147,068 = 147,068/x
  3. Step 3: Cross multiply
    98,064x = 147,068 × 147,068
  4. Step 4: Simplify right side
    98,064x = 21,628,996,624
  5. Step 5: Solve for x
    x = 21,628,996,624/98,064
  6. Step 6: Final answer
    x = 220,560.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.