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Finding the Third Proportional to 49,618 and 72,236

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Solution

The third proportional to 49,618 and 72,236 is: 105,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,618 : 72,236 = 72,236 : x
  2. Step 2: Convert to fraction form
    49,618/72,236 = 72,236/x
  3. Step 3: Cross multiply
    49,618x = 72,236 × 72,236
  4. Step 4: Simplify right side
    49,618x = 5,218,039,696
  5. Step 5: Solve for x
    x = 5,218,039,696/49,618
  6. Step 6: Final answer
    x = 105,164.25

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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.