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Finding the Third Proportional to 52,925 and 113,129

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Solution

The third proportional to 52,925 and 113,129 is: 241,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,925 : 113,129 = 113,129 : x
  2. Step 2: Convert to fraction form
    52,925/113,129 = 113,129/x
  3. Step 3: Cross multiply
    52,925x = 113,129 × 113,129
  4. Step 4: Simplify right side
    52,925x = 12,798,170,641
  5. Step 5: Solve for x
    x = 12,798,170,641/52,925
  6. Step 6: Final answer
    x = 241,817.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.