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Finding the Third Proportional to 101,526 and 148,824

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Solution

The third proportional to 101,526 and 148,824 is: 218,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,526 : 148,824 = 148,824 : x
  2. Step 2: Convert to fraction form
    101,526/148,824 = 148,824/x
  3. Step 3: Cross multiply
    101,526x = 148,824 × 148,824
  4. Step 4: Simplify right side
    101,526x = 22,148,582,976
  5. Step 5: Solve for x
    x = 22,148,582,976/101,526
  6. Step 6: Final answer
    x = 218,156.76

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Why These Related Problems?

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