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Finding the Third Proportional to 54,509 and 83,346

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Solution

The third proportional to 54,509 and 83,346 is: 127,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509 : 83,346 = 83,346 : x
  2. Step 2: Convert to fraction form
    54,509/83,346 = 83,346/x
  3. Step 3: Cross multiply
    54,509x = 83,346 × 83,346
  4. Step 4: Simplify right side
    54,509x = 6,946,555,716
  5. Step 5: Solve for x
    x = 6,946,555,716/54,509
  6. Step 6: Final answer
    x = 127,438.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.