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Finding the Third Proportional to 57,196 and 125,461

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Solution

The third proportional to 57,196 and 125,461 is: 275,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,196 : 125,461 = 125,461 : x
  2. Step 2: Convert to fraction form
    57,196/125,461 = 125,461/x
  3. Step 3: Cross multiply
    57,196x = 125,461 × 125,461
  4. Step 4: Simplify right side
    57,196x = 15,740,462,521
  5. Step 5: Solve for x
    x = 15,740,462,521/57,196
  6. Step 6: Final answer
    x = 275,202.16

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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.