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Finding the Third Proportional to 53,514 and 79,498

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Solution

The third proportional to 53,514 and 79,498 is: 118,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,514 : 79,498 = 79,498 : x
  2. Step 2: Convert to fraction form
    53,514/79,498 = 79,498/x
  3. Step 3: Cross multiply
    53,514x = 79,498 × 79,498
  4. Step 4: Simplify right side
    53,514x = 6,319,932,004
  5. Step 5: Solve for x
    x = 6,319,932,004/53,514
  6. Step 6: Final answer
    x = 118,098.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.