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Finding the Third Proportional to 88,380 and 133,854

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Solution

The third proportional to 88,380 and 133,854 is: 202,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,380 : 133,854 = 133,854 : x
  2. Step 2: Convert to fraction form
    88,380/133,854 = 133,854/x
  3. Step 3: Cross multiply
    88,380x = 133,854 × 133,854
  4. Step 4: Simplify right side
    88,380x = 17,916,893,316
  5. Step 5: Solve for x
    x = 17,916,893,316/88,380
  6. Step 6: Final answer
    x = 202,725.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.