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Finding the Third Proportional to 65,373 and 97,815

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Solution

The third proportional to 65,373 and 97,815 is: 146,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,373 : 97,815 = 97,815 : x
  2. Step 2: Convert to fraction form
    65,373/97,815 = 97,815/x
  3. Step 3: Cross multiply
    65,373x = 97,815 × 97,815
  4. Step 4: Simplify right side
    65,373x = 9,567,774,225
  5. Step 5: Solve for x
    x = 9,567,774,225/65,373
  6. Step 6: Final answer
    x = 146,356.66

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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.