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Finding the Third Proportional to 124,595 and 265,501

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Solution

The third proportional to 124,595 and 265,501 is: 565,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,595 : 265,501 = 265,501 : x
  2. Step 2: Convert to fraction form
    124,595/265,501 = 265,501/x
  3. Step 3: Cross multiply
    124,595x = 265,501 × 265,501
  4. Step 4: Simplify right side
    124,595x = 70,490,781,001
  5. Step 5: Solve for x
    x = 70,490,781,001/124,595
  6. Step 6: Final answer
    x = 565,759.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.