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Finding the Third Proportional to 135,095 and 312,747

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Solution

The third proportional to 135,095 and 312,747 is: 724,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,095 : 312,747 = 312,747 : x
  2. Step 2: Convert to fraction form
    135,095/312,747 = 312,747/x
  3. Step 3: Cross multiply
    135,095x = 312,747 × 312,747
  4. Step 4: Simplify right side
    135,095x = 97,810,686,009
  5. Step 5: Solve for x
    x = 97,810,686,009/135,095
  6. Step 6: Final answer
    x = 724,014.11

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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.