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Finding the Third Proportional to 121,048 and 174,618

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Solution

The third proportional to 121,048 and 174,618 is: 251,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,048 : 174,618 = 174,618 : x
  2. Step 2: Convert to fraction form
    121,048/174,618 = 174,618/x
  3. Step 3: Cross multiply
    121,048x = 174,618 × 174,618
  4. Step 4: Simplify right side
    121,048x = 30,491,445,924
  5. Step 5: Solve for x
    x = 30,491,445,924/121,048
  6. Step 6: Final answer
    x = 251,895.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.