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Finding the Third Proportional to 52,756 and 124,535

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Solution

The third proportional to 52,756 and 124,535 is: 293,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,756 : 124,535 = 124,535 : x
  2. Step 2: Convert to fraction form
    52,756/124,535 = 124,535/x
  3. Step 3: Cross multiply
    52,756x = 124,535 × 124,535
  4. Step 4: Simplify right side
    52,756x = 15,508,966,225
  5. Step 5: Solve for x
    x = 15,508,966,225/52,756
  6. Step 6: Final answer
    x = 293,975.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.