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Finding the Third Proportional to 53,248 and 116,432

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Solution

The third proportional to 53,248 and 116,432 is: 254,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,248 : 116,432 = 116,432 : x
  2. Step 2: Convert to fraction form
    53,248/116,432 = 116,432/x
  3. Step 3: Cross multiply
    53,248x = 116,432 × 116,432
  4. Step 4: Simplify right side
    53,248x = 13,556,410,624
  5. Step 5: Solve for x
    x = 13,556,410,624/53,248
  6. Step 6: Final answer
    x = 254,590.04

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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.