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Finding the Third Proportional to 57,358 and 125,786

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Solution

The third proportional to 57,358 and 125,786 is: 275,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,358 : 125,786 = 125,786 : x
  2. Step 2: Convert to fraction form
    57,358/125,786 = 125,786/x
  3. Step 3: Cross multiply
    57,358x = 125,786 × 125,786
  4. Step 4: Simplify right side
    57,358x = 15,822,117,796
  5. Step 5: Solve for x
    x = 15,822,117,796/57,358
  6. Step 6: Final answer
    x = 275,848.49

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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.