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Finding the Third Proportional to 55,931 and 118,340

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Solution

The third proportional to 55,931 and 118,340 is: 250,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,931 : 118,340 = 118,340 : x
  2. Step 2: Convert to fraction form
    55,931/118,340 = 118,340/x
  3. Step 3: Cross multiply
    55,931x = 118,340 × 118,340
  4. Step 4: Simplify right side
    55,931x = 14,004,355,600
  5. Step 5: Solve for x
    x = 14,004,355,600/55,931
  6. Step 6: Final answer
    x = 250,386.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.