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Finding the Third Proportional to 56,073 and 118,584

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Solution

The third proportional to 56,073 and 118,584 is: 250,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,073 : 118,584 = 118,584 : x
  2. Step 2: Convert to fraction form
    56,073/118,584 = 118,584/x
  3. Step 3: Cross multiply
    56,073x = 118,584 × 118,584
  4. Step 4: Simplify right side
    56,073x = 14,062,165,056
  5. Step 5: Solve for x
    x = 14,062,165,056/56,073
  6. Step 6: Final answer
    x = 250,783.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.