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Finding the Third Proportional to 101,526.50 and 148,826

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Solution

The third proportional to 101,526.50 and 148,826 is: 218,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,526.50 : 148,826 = 148,826 : x
  2. Step 2: Convert to fraction form
    101,526.50/148,826 = 148,826/x
  3. Step 3: Cross multiply
    101,526.50x = 148,826 × 148,826
  4. Step 4: Simplify right side
    101,526.50x = 22,149,178,276
  5. Step 5: Solve for x
    x = 22,149,178,276/101,526.50
  6. Step 6: Final answer
    x = 218,161.55

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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.