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Finding the Third Proportional to 134,135 and 201,218.50

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Solution

The third proportional to 134,135 and 201,218.50 is: 301,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,135 : 201,218.50 = 201,218.50 : x
  2. Step 2: Convert to fraction form
    134,135/201,218.50 = 201,218.50/x
  3. Step 3: Cross multiply
    134,135x = 201,218.50 × 201,218.50
  4. Step 4: Simplify right side
    134,135x = 40,488,884,742.25
  5. Step 5: Solve for x
    x = 40,488,884,742.25/134,135
  6. Step 6: Final answer
    x = 301,851.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.