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Finding the Third Proportional to 137,031.75 and 201,393.84

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Solution

The third proportional to 137,031.75 and 201,393.84 is: 295,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,031.75 : 201,393.84 = 201,393.84 : x
  2. Step 2: Convert to fraction form
    137,031.75/201,393.84 = 201,393.84/x
  3. Step 3: Cross multiply
    137,031.75x = 201,393.84 × 201,393.84
  4. Step 4: Simplify right side
    137,031.75x = 40,559,480,300.40
  5. Step 5: Solve for x
    x = 40,559,480,300.40/137,031.75
  6. Step 6: Final answer
    x = 295,986.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.