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Finding the Third Proportional to 53,370 and 83,718

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Solution

The third proportional to 53,370 and 83,718 is: 131,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,370 : 83,718 = 83,718 : x
  2. Step 2: Convert to fraction form
    53,370/83,718 = 83,718/x
  3. Step 3: Cross multiply
    53,370x = 83,718 × 83,718
  4. Step 4: Simplify right side
    53,370x = 7,008,703,524
  5. Step 5: Solve for x
    x = 7,008,703,524/53,370
  6. Step 6: Final answer
    x = 131,322.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.