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Finding the Third Proportional to 101,520 and 148,816

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Solution

The third proportional to 101,520 and 148,816 is: 218,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,520 : 148,816 = 148,816 : x
  2. Step 2: Convert to fraction form
    101,520/148,816 = 148,816/x
  3. Step 3: Cross multiply
    101,520x = 148,816 × 148,816
  4. Step 4: Simplify right side
    101,520x = 22,146,201,856
  5. Step 5: Solve for x
    x = 22,146,201,856/101,520
  6. Step 6: Final answer
    x = 218,146.20

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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.