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Finding the Third Proportional to 70,071 and 107,154

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Solution

The third proportional to 70,071 and 107,154 is: 163,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,071 : 107,154 = 107,154 : x
  2. Step 2: Convert to fraction form
    70,071/107,154 = 107,154/x
  3. Step 3: Cross multiply
    70,071x = 107,154 × 107,154
  4. Step 4: Simplify right side
    70,071x = 11,481,979,716
  5. Step 5: Solve for x
    x = 11,481,979,716/70,071
  6. Step 6: Final answer
    x = 163,862.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.