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Finding the Third Proportional to 116,024 and 184,618

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Solution

The third proportional to 116,024 and 184,618 is: 293,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,024 : 184,618 = 184,618 : x
  2. Step 2: Convert to fraction form
    116,024/184,618 = 184,618/x
  3. Step 3: Cross multiply
    116,024x = 184,618 × 184,618
  4. Step 4: Simplify right side
    116,024x = 34,083,805,924
  5. Step 5: Solve for x
    x = 34,083,805,924/116,024
  6. Step 6: Final answer
    x = 293,765.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.