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Finding the Third Proportional to 101,416 and 148,460

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Solution

The third proportional to 101,416 and 148,460 is: 217,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,416 : 148,460 = 148,460 : x
  2. Step 2: Convert to fraction form
    101,416/148,460 = 148,460/x
  3. Step 3: Cross multiply
    101,416x = 148,460 × 148,460
  4. Step 4: Simplify right side
    101,416x = 22,040,371,600
  5. Step 5: Solve for x
    x = 22,040,371,600/101,416
  6. Step 6: Final answer
    x = 217,326.37

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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.