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Finding the Third Proportional to 101,382 and 148,221

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Solution

The third proportional to 101,382 and 148,221 is: 216,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382 : 148,221 = 148,221 : x
  2. Step 2: Convert to fraction form
    101,382/148,221 = 148,221/x
  3. Step 3: Cross multiply
    101,382x = 148,221 × 148,221
  4. Step 4: Simplify right side
    101,382x = 21,969,464,841
  5. Step 5: Solve for x
    x = 21,969,464,841/101,382
  6. Step 6: Final answer
    x = 216,699.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.