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Finding the Third Proportional to 56,837 and 86,045

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Solution

The third proportional to 56,837 and 86,045 is: 130,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,837 : 86,045 = 86,045 : x
  2. Step 2: Convert to fraction form
    56,837/86,045 = 86,045/x
  3. Step 3: Cross multiply
    56,837x = 86,045 × 86,045
  4. Step 4: Simplify right side
    56,837x = 7,403,742,025
  5. Step 5: Solve for x
    x = 7,403,742,025/56,837
  6. Step 6: Final answer
    x = 130,262.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.