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Finding the Third Proportional to 52,756 and 124,537

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Solution

The third proportional to 52,756 and 124,537 is: 293,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,756 : 124,537 = 124,537 : x
  2. Step 2: Convert to fraction form
    52,756/124,537 = 124,537/x
  3. Step 3: Cross multiply
    52,756x = 124,537 × 124,537
  4. Step 4: Simplify right side
    52,756x = 15,509,464,369
  5. Step 5: Solve for x
    x = 15,509,464,369/52,756
  6. Step 6: Final answer
    x = 293,984.84

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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.