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Finding the Third Proportional to 56,120 and 118,566

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Solution

The third proportional to 56,120 and 118,566 is: 250,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,120 : 118,566 = 118,566 : x
  2. Step 2: Convert to fraction form
    56,120/118,566 = 118,566/x
  3. Step 3: Cross multiply
    56,120x = 118,566 × 118,566
  4. Step 4: Simplify right side
    56,120x = 14,057,896,356
  5. Step 5: Solve for x
    x = 14,057,896,356/56,120
  6. Step 6: Final answer
    x = 250,497.08

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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.