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Finding the Third Proportional to 32,138 and 70,300

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Solution

The third proportional to 32,138 and 70,300 is: 153,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138 : 70,300 = 70,300 : x
  2. Step 2: Convert to fraction form
    32,138/70,300 = 70,300/x
  3. Step 3: Cross multiply
    32,138x = 70,300 × 70,300
  4. Step 4: Simplify right side
    32,138x = 4,942,090,000
  5. Step 5: Solve for x
    x = 4,942,090,000/32,138
  6. Step 6: Final answer
    x = 153,777.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.