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Finding the Third Proportional to 52,505.75 and 82,134.75

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Solution

The third proportional to 52,505.75 and 82,134.75 is: 128,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,505.75 : 82,134.75 = 82,134.75 : x
  2. Step 2: Convert to fraction form
    52,505.75/82,134.75 = 82,134.75/x
  3. Step 3: Cross multiply
    52,505.75x = 82,134.75 × 82,134.75
  4. Step 4: Simplify right side
    52,505.75x = 6,746,117,157.56
  5. Step 5: Solve for x
    x = 6,746,117,157.56/52,505.75
  6. Step 6: Final answer
    x = 128,483.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.