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Finding the Third Proportional to 76,932 and 173,618

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Solution

The third proportional to 76,932 and 173,618 is: 391,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,932 : 173,618 = 173,618 : x
  2. Step 2: Convert to fraction form
    76,932/173,618 = 173,618/x
  3. Step 3: Cross multiply
    76,932x = 173,618 × 173,618
  4. Step 4: Simplify right side
    76,932x = 30,143,209,924
  5. Step 5: Solve for x
    x = 30,143,209,924/76,932
  6. Step 6: Final answer
    x = 391,816.28

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.