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Finding the Third Proportional to 137,935 and 185,366

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Solution

The third proportional to 137,935 and 185,366 is: 249,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,935 : 185,366 = 185,366 : x
  2. Step 2: Convert to fraction form
    137,935/185,366 = 185,366/x
  3. Step 3: Cross multiply
    137,935x = 185,366 × 185,366
  4. Step 4: Simplify right side
    137,935x = 34,360,553,956
  5. Step 5: Solve for x
    x = 34,360,553,956/137,935
  6. Step 6: Final answer
    x = 249,106.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.