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Finding the Third Proportional to 47,618 and 103,702

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Solution

The third proportional to 47,618 and 103,702 is: 225,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,618 : 103,702 = 103,702 : x
  2. Step 2: Convert to fraction form
    47,618/103,702 = 103,702/x
  3. Step 3: Cross multiply
    47,618x = 103,702 × 103,702
  4. Step 4: Simplify right side
    47,618x = 10,754,104,804
  5. Step 5: Solve for x
    x = 10,754,104,804/47,618
  6. Step 6: Final answer
    x = 225,841.17

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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.