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Finding the Third Proportional to 65,014.50 and 97,258.50

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Solution

The third proportional to 65,014.50 and 97,258.50 is: 145,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.50 : 97,258.50 = 97,258.50 : x
  2. Step 2: Convert to fraction form
    65,014.50/97,258.50 = 97,258.50/x
  3. Step 3: Cross multiply
    65,014.50x = 97,258.50 × 97,258.50
  4. Step 4: Simplify right side
    65,014.50x = 9,459,215,822.25
  5. Step 5: Solve for x
    x = 9,459,215,822.25/65,014.50
  6. Step 6: Final answer
    x = 145,493.94

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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.