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Finding the Third Proportional to 65,323 and 97,729

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Solution

The third proportional to 65,323 and 97,729 is: 146,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,323 : 97,729 = 97,729 : x
  2. Step 2: Convert to fraction form
    65,323/97,729 = 97,729/x
  3. Step 3: Cross multiply
    65,323x = 97,729 × 97,729
  4. Step 4: Simplify right side
    65,323x = 9,550,957,441
  5. Step 5: Solve for x
    x = 9,550,957,441/65,323
  6. Step 6: Final answer
    x = 146,211.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.