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Finding the Third Proportional to 57,526 and 123,050

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Solution

The third proportional to 57,526 and 123,050 is: 263,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,526 : 123,050 = 123,050 : x
  2. Step 2: Convert to fraction form
    57,526/123,050 = 123,050/x
  3. Step 3: Cross multiply
    57,526x = 123,050 × 123,050
  4. Step 4: Simplify right side
    57,526x = 15,141,302,500
  5. Step 5: Solve for x
    x = 15,141,302,500/57,526
  6. Step 6: Final answer
    x = 263,207.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.