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Finding the Third Proportional to 65,371 and 97,800

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Solution

The third proportional to 65,371 and 97,800 is: 146,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,371 : 97,800 = 97,800 : x
  2. Step 2: Convert to fraction form
    65,371/97,800 = 97,800/x
  3. Step 3: Cross multiply
    65,371x = 97,800 × 97,800
  4. Step 4: Simplify right side
    65,371x = 9,564,840,000
  5. Step 5: Solve for x
    x = 9,564,840,000/65,371
  6. Step 6: Final answer
    x = 146,316.26

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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.