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Finding the Third Proportional to 48,444 and 108,222

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Solution

The third proportional to 48,444 and 108,222 is: 241,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,444 : 108,222 = 108,222 : x
  2. Step 2: Convert to fraction form
    48,444/108,222 = 108,222/x
  3. Step 3: Cross multiply
    48,444x = 108,222 × 108,222
  4. Step 4: Simplify right side
    48,444x = 11,712,001,284
  5. Step 5: Solve for x
    x = 11,712,001,284/48,444
  6. Step 6: Final answer
    x = 241,763.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.