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Finding the Third Proportional to 53,557 and 113,134

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Solution

The third proportional to 53,557 and 113,134 is: 238,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,557 : 113,134 = 113,134 : x
  2. Step 2: Convert to fraction form
    53,557/113,134 = 113,134/x
  3. Step 3: Cross multiply
    53,557x = 113,134 × 113,134
  4. Step 4: Simplify right side
    53,557x = 12,799,301,956
  5. Step 5: Solve for x
    x = 12,799,301,956/53,557
  6. Step 6: Final answer
    x = 238,984.67

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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.