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Finding the Third Proportional to 135,127 and 312,829

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Solution

The third proportional to 135,127 and 312,829 is: 724,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,127 : 312,829 = 312,829 : x
  2. Step 2: Convert to fraction form
    135,127/312,829 = 312,829/x
  3. Step 3: Cross multiply
    135,127x = 312,829 × 312,829
  4. Step 4: Simplify right side
    135,127x = 97,861,983,241
  5. Step 5: Solve for x
    x = 97,861,983,241/135,127
  6. Step 6: Final answer
    x = 724,222.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.