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Finding the Third Proportional to 129,348 and 182,574

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Solution

The third proportional to 129,348 and 182,574 is: 257,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,348 : 182,574 = 182,574 : x
  2. Step 2: Convert to fraction form
    129,348/182,574 = 182,574/x
  3. Step 3: Cross multiply
    129,348x = 182,574 × 182,574
  4. Step 4: Simplify right side
    129,348x = 33,333,265,476
  5. Step 5: Solve for x
    x = 33,333,265,476/129,348
  6. Step 6: Final answer
    x = 257,702.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.