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Finding the Third Proportional to 53,004 and 82,386

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Solution

The third proportional to 53,004 and 82,386 is: 128,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,004 : 82,386 = 82,386 : x
  2. Step 2: Convert to fraction form
    53,004/82,386 = 82,386/x
  3. Step 3: Cross multiply
    53,004x = 82,386 × 82,386
  4. Step 4: Simplify right side
    53,004x = 6,787,452,996
  5. Step 5: Solve for x
    x = 6,787,452,996/53,004
  6. Step 6: Final answer
    x = 128,055.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.