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Finding the Third Proportional to 70,002 and 105,363

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Solution

The third proportional to 70,002 and 105,363 is: 158,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,002 : 105,363 = 105,363 : x
  2. Step 2: Convert to fraction form
    70,002/105,363 = 105,363/x
  3. Step 3: Cross multiply
    70,002x = 105,363 × 105,363
  4. Step 4: Simplify right side
    70,002x = 11,101,361,769
  5. Step 5: Solve for x
    x = 11,101,361,769/70,002
  6. Step 6: Final answer
    x = 158,586.35

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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.