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Finding the Third Proportional to 48,346 and 105,548

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Solution

The third proportional to 48,346 and 105,548 is: 230,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,346 : 105,548 = 105,548 : x
  2. Step 2: Convert to fraction form
    48,346/105,548 = 105,548/x
  3. Step 3: Cross multiply
    48,346x = 105,548 × 105,548
  4. Step 4: Simplify right side
    48,346x = 11,140,380,304
  5. Step 5: Solve for x
    x = 11,140,380,304/48,346
  6. Step 6: Final answer
    x = 230,430.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.