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Finding the Third Proportional to 124,200 and 265,032

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Solution

The third proportional to 124,200 and 265,032 is: 565,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,200 : 265,032 = 265,032 : x
  2. Step 2: Convert to fraction form
    124,200/265,032 = 265,032/x
  3. Step 3: Cross multiply
    124,200x = 265,032 × 265,032
  4. Step 4: Simplify right side
    124,200x = 70,241,961,024
  5. Step 5: Solve for x
    x = 70,241,961,024/124,200
  6. Step 6: Final answer
    x = 565,555.24

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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.