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Finding the Third Proportional to 70,426 and 103,154

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Solution

The third proportional to 70,426 and 103,154 is: 151,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,426 : 103,154 = 103,154 : x
  2. Step 2: Convert to fraction form
    70,426/103,154 = 103,154/x
  3. Step 3: Cross multiply
    70,426x = 103,154 × 103,154
  4. Step 4: Simplify right side
    70,426x = 10,640,747,716
  5. Step 5: Solve for x
    x = 10,640,747,716/70,426
  6. Step 6: Final answer
    x = 151,091.18

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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.