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Finding the Third Proportional to 140,733 and 201,127.50

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Solution

The third proportional to 140,733 and 201,127.50 is: 287,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,733 : 201,127.50 = 201,127.50 : x
  2. Step 2: Convert to fraction form
    140,733/201,127.50 = 201,127.50/x
  3. Step 3: Cross multiply
    140,733x = 201,127.50 × 201,127.50
  4. Step 4: Simplify right side
    140,733x = 40,452,271,256.25
  5. Step 5: Solve for x
    x = 40,452,271,256.25/140,733
  6. Step 6: Final answer
    x = 287,439.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.