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Finding the Third Proportional to 65,583 and 98,919

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Solution

The third proportional to 65,583 and 98,919 is: 149,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,583 : 98,919 = 98,919 : x
  2. Step 2: Convert to fraction form
    65,583/98,919 = 98,919/x
  3. Step 3: Cross multiply
    65,583x = 98,919 × 98,919
  4. Step 4: Simplify right side
    65,583x = 9,784,968,561
  5. Step 5: Solve for x
    x = 9,784,968,561/65,583
  6. Step 6: Final answer
    x = 149,199.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.