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Finding the Third Proportional to 118,976 and 158,618

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Solution

The third proportional to 118,976 and 158,618 is: 211,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,976 : 158,618 = 158,618 : x
  2. Step 2: Convert to fraction form
    118,976/158,618 = 158,618/x
  3. Step 3: Cross multiply
    118,976x = 158,618 × 158,618
  4. Step 4: Simplify right side
    118,976x = 25,159,669,924
  5. Step 5: Solve for x
    x = 25,159,669,924/118,976
  6. Step 6: Final answer
    x = 211,468.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.