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Finding the Third Proportional to 134,120 and 201,196

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Solution

The third proportional to 134,120 and 201,196 is: 301,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,120 : 201,196 = 201,196 : x
  2. Step 2: Convert to fraction form
    134,120/201,196 = 201,196/x
  3. Step 3: Cross multiply
    134,120x = 201,196 × 201,196
  4. Step 4: Simplify right side
    134,120x = 40,479,830,416
  5. Step 5: Solve for x
    x = 40,479,830,416/134,120
  6. Step 6: Final answer
    x = 301,818.00

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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.