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Finding the Third Proportional to 53,515 and 83,336.63

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Solution

The third proportional to 53,515 and 83,336.63 is: 129,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,515 : 83,336.63 = 83,336.63 : x
  2. Step 2: Convert to fraction form
    53,515/83,336.63 = 83,336.63/x
  3. Step 3: Cross multiply
    53,515x = 83,336.63 × 83,336.63
  4. Step 4: Simplify right side
    53,515x = 6,944,993,066.39
  5. Step 5: Solve for x
    x = 6,944,993,066.39/53,515
  6. Step 6: Final answer
    x = 129,776.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.