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Finding the Third Proportional to 54,688 and 78,203

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Solution

The third proportional to 54,688 and 78,203 is: 111,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,688 : 78,203 = 78,203 : x
  2. Step 2: Convert to fraction form
    54,688/78,203 = 78,203/x
  3. Step 3: Cross multiply
    54,688x = 78,203 × 78,203
  4. Step 4: Simplify right side
    54,688x = 6,115,709,209
  5. Step 5: Solve for x
    x = 6,115,709,209/54,688
  6. Step 6: Final answer
    x = 111,829.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.