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Finding the Third Proportional to 56,640 and 124,160

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Solution

The third proportional to 56,640 and 124,160 is: 272,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,640 : 124,160 = 124,160 : x
  2. Step 2: Convert to fraction form
    56,640/124,160 = 124,160/x
  3. Step 3: Cross multiply
    56,640x = 124,160 × 124,160
  4. Step 4: Simplify right side
    56,640x = 15,415,705,600
  5. Step 5: Solve for x
    x = 15,415,705,600/56,640
  6. Step 6: Final answer
    x = 272,169.94

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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.