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Finding the Third Proportional to 56,114 and 122,959

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Solution

The third proportional to 56,114 and 122,959 is: 269,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114 : 122,959 = 122,959 : x
  2. Step 2: Convert to fraction form
    56,114/122,959 = 122,959/x
  3. Step 3: Cross multiply
    56,114x = 122,959 × 122,959
  4. Step 4: Simplify right side
    56,114x = 15,118,915,681
  5. Step 5: Solve for x
    x = 15,118,915,681/56,114
  6. Step 6: Final answer
    x = 269,432.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.