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Finding the Third Proportional to 64,298 and 98,300

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Solution

The third proportional to 64,298 and 98,300 is: 150,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,298 : 98,300 = 98,300 : x
  2. Step 2: Convert to fraction form
    64,298/98,300 = 98,300/x
  3. Step 3: Cross multiply
    64,298x = 98,300 × 98,300
  4. Step 4: Simplify right side
    64,298x = 9,662,890,000
  5. Step 5: Solve for x
    x = 9,662,890,000/64,298
  6. Step 6: Final answer
    x = 150,282.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.