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Finding the Third Proportional to 53,414 and 77,367

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Solution

The third proportional to 53,414 and 77,367 is: 112,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,414 : 77,367 = 77,367 : x
  2. Step 2: Convert to fraction form
    53,414/77,367 = 77,367/x
  3. Step 3: Cross multiply
    53,414x = 77,367 × 77,367
  4. Step 4: Simplify right side
    53,414x = 5,985,652,689
  5. Step 5: Solve for x
    x = 5,985,652,689/53,414
  6. Step 6: Final answer
    x = 112,061.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.