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Finding the Third Proportional to 53,514 and 85,482

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Solution

The third proportional to 53,514 and 85,482 is: 136,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,514 : 85,482 = 85,482 : x
  2. Step 2: Convert to fraction form
    53,514/85,482 = 85,482/x
  3. Step 3: Cross multiply
    53,514x = 85,482 × 85,482
  4. Step 4: Simplify right side
    53,514x = 7,307,172,324
  5. Step 5: Solve for x
    x = 7,307,172,324/53,514
  6. Step 6: Final answer
    x = 136,546.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.