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Finding the Third Proportional to 56,537 and 83,077

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Solution

The third proportional to 56,537 and 83,077 is: 122,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,537 : 83,077 = 83,077 : x
  2. Step 2: Convert to fraction form
    56,537/83,077 = 83,077/x
  3. Step 3: Cross multiply
    56,537x = 83,077 × 83,077
  4. Step 4: Simplify right side
    56,537x = 6,901,787,929
  5. Step 5: Solve for x
    x = 6,901,787,929/56,537
  6. Step 6: Final answer
    x = 122,075.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.