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Finding the Third Proportional to 29,761 and 70,133

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Solution

The third proportional to 29,761 and 70,133 is: 165,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,761 : 70,133 = 70,133 : x
  2. Step 2: Convert to fraction form
    29,761/70,133 = 70,133/x
  3. Step 3: Cross multiply
    29,761x = 70,133 × 70,133
  4. Step 4: Simplify right side
    29,761x = 4,918,637,689
  5. Step 5: Solve for x
    x = 4,918,637,689/29,761
  6. Step 6: Final answer
    x = 165,271.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.