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Finding the Third Proportional to 53,618 and 113,284

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Solution

The third proportional to 53,618 and 113,284 is: 239,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,618 : 113,284 = 113,284 : x
  2. Step 2: Convert to fraction form
    53,618/113,284 = 113,284/x
  3. Step 3: Cross multiply
    53,618x = 113,284 × 113,284
  4. Step 4: Simplify right side
    53,618x = 12,833,264,656
  5. Step 5: Solve for x
    x = 12,833,264,656/53,618
  6. Step 6: Final answer
    x = 239,346.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.