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Finding the Third Proportional to 65,583 and 98,388

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Solution

The third proportional to 65,583 and 98,388 is: 147,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,583 : 98,388 = 98,388 : x
  2. Step 2: Convert to fraction form
    65,583/98,388 = 98,388/x
  3. Step 3: Cross multiply
    65,583x = 98,388 × 98,388
  4. Step 4: Simplify right side
    65,583x = 9,680,198,544
  5. Step 5: Solve for x
    x = 9,680,198,544/65,583
  6. Step 6: Final answer
    x = 147,602.25

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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.