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Finding the Third Proportional to 56,023 and 120,541

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Solution

The third proportional to 56,023 and 120,541 is: 259,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,023 : 120,541 = 120,541 : x
  2. Step 2: Convert to fraction form
    56,023/120,541 = 120,541/x
  3. Step 3: Cross multiply
    56,023x = 120,541 × 120,541
  4. Step 4: Simplify right side
    56,023x = 14,530,132,681
  5. Step 5: Solve for x
    x = 14,530,132,681/56,023
  6. Step 6: Final answer
    x = 259,360.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.