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Finding the Third Proportional to 65,623 and 98,416

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Solution

The third proportional to 65,623 and 98,416 is: 147,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,623 : 98,416 = 98,416 : x
  2. Step 2: Convert to fraction form
    65,623/98,416 = 98,416/x
  3. Step 3: Cross multiply
    65,623x = 98,416 × 98,416
  4. Step 4: Simplify right side
    65,623x = 9,685,709,056
  5. Step 5: Solve for x
    x = 9,685,709,056/65,623
  6. Step 6: Final answer
    x = 147,596.26

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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.