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Finding the Third Proportional to 97,604.50 and 132,582

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Solution

The third proportional to 97,604.50 and 132,582 is: 180,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,604.50 : 132,582 = 132,582 : x
  2. Step 2: Convert to fraction form
    97,604.50/132,582 = 132,582/x
  3. Step 3: Cross multiply
    97,604.50x = 132,582 × 132,582
  4. Step 4: Simplify right side
    97,604.50x = 17,577,986,724
  5. Step 5: Solve for x
    x = 17,577,986,724/97,604.50
  6. Step 6: Final answer
    x = 180,094.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.