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Finding the Third Proportional to 61,647 and 90,526.50

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Solution

The third proportional to 61,647 and 90,526.50 is: 132,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,647 : 90,526.50 = 90,526.50 : x
  2. Step 2: Convert to fraction form
    61,647/90,526.50 = 90,526.50/x
  3. Step 3: Cross multiply
    61,647x = 90,526.50 × 90,526.50
  4. Step 4: Simplify right side
    61,647x = 8,195,047,202.25
  5. Step 5: Solve for x
    x = 8,195,047,202.25/61,647
  6. Step 6: Final answer
    x = 132,935.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.