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Finding the Third Proportional to 65,321 and 97,727

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Solution

The third proportional to 65,321 and 97,727 is: 146,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,321 : 97,727 = 97,727 : x
  2. Step 2: Convert to fraction form
    65,321/97,727 = 97,727/x
  3. Step 3: Cross multiply
    65,321x = 97,727 × 97,727
  4. Step 4: Simplify right side
    65,321x = 9,550,566,529
  5. Step 5: Solve for x
    x = 9,550,566,529/65,321
  6. Step 6: Final answer
    x = 146,209.74

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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.