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Finding the Third Proportional to 53,618 and 113,716

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Solution

The third proportional to 53,618 and 113,716 is: 241,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,618 : 113,716 = 113,716 : x
  2. Step 2: Convert to fraction form
    53,618/113,716 = 113,716/x
  3. Step 3: Cross multiply
    53,618x = 113,716 × 113,716
  4. Step 4: Simplify right side
    53,618x = 12,931,328,656
  5. Step 5: Solve for x
    x = 12,931,328,656/53,618
  6. Step 6: Final answer
    x = 241,175.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.