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Finding the Third Proportional to 52,527 and 115,258

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Solution

The third proportional to 52,527 and 115,258 is: 252,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,527 : 115,258 = 115,258 : x
  2. Step 2: Convert to fraction form
    52,527/115,258 = 115,258/x
  3. Step 3: Cross multiply
    52,527x = 115,258 × 115,258
  4. Step 4: Simplify right side
    52,527x = 13,284,406,564
  5. Step 5: Solve for x
    x = 13,284,406,564/52,527
  6. Step 6: Final answer
    x = 252,906.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.