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Finding the Third Proportional to 53,024 and 116,252

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Solution

The third proportional to 53,024 and 116,252 is: 254,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,024 : 116,252 = 116,252 : x
  2. Step 2: Convert to fraction form
    53,024/116,252 = 116,252/x
  3. Step 3: Cross multiply
    53,024x = 116,252 × 116,252
  4. Step 4: Simplify right side
    53,024x = 13,514,527,504
  5. Step 5: Solve for x
    x = 13,514,527,504/53,024
  6. Step 6: Final answer
    x = 254,875.67

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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.