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Finding the Third Proportional to 65,576 and 98,412

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Solution

The third proportional to 65,576 and 98,412 is: 147,690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576 : 98,412 = 98,412 : x
  2. Step 2: Convert to fraction form
    65,576/98,412 = 98,412/x
  3. Step 3: Cross multiply
    65,576x = 98,412 × 98,412
  4. Step 4: Simplify right side
    65,576x = 9,684,921,744
  5. Step 5: Solve for x
    x = 9,684,921,744/65,576
  6. Step 6: Final answer
    x = 147,690.04

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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.