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Finding the Third Proportional to 70,490 and 102,922

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Solution

The third proportional to 70,490 and 102,922 is: 150,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490 : 102,922 = 102,922 : x
  2. Step 2: Convert to fraction form
    70,490/102,922 = 102,922/x
  3. Step 3: Cross multiply
    70,490x = 102,922 × 102,922
  4. Step 4: Simplify right side
    70,490x = 10,592,938,084
  5. Step 5: Solve for x
    x = 10,592,938,084/70,490
  6. Step 6: Final answer
    x = 150,275.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.