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Finding the Third Proportional to 96,028 and 127,426

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Solution

The third proportional to 96,028 and 127,426 is: 169,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,028 : 127,426 = 127,426 : x
  2. Step 2: Convert to fraction form
    96,028/127,426 = 127,426/x
  3. Step 3: Cross multiply
    96,028x = 127,426 × 127,426
  4. Step 4: Simplify right side
    96,028x = 16,237,385,476
  5. Step 5: Solve for x
    x = 16,237,385,476/96,028
  6. Step 6: Final answer
    x = 169,090.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.