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Finding the Third Proportional to 41,607 and 90,618

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Solution

The third proportional to 41,607 and 90,618 is: 197,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,607 : 90,618 = 90,618 : x
  2. Step 2: Convert to fraction form
    41,607/90,618 = 90,618/x
  3. Step 3: Cross multiply
    41,607x = 90,618 × 90,618
  4. Step 4: Simplify right side
    41,607x = 8,211,621,924
  5. Step 5: Solve for x
    x = 8,211,621,924/41,607
  6. Step 6: Final answer
    x = 197,361.55

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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.