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Finding the Third Proportional to 124,543.50 and 257,949

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Solution

The third proportional to 124,543.50 and 257,949 is: 534,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,543.50 : 257,949 = 257,949 : x
  2. Step 2: Convert to fraction form
    124,543.50/257,949 = 257,949/x
  3. Step 3: Cross multiply
    124,543.50x = 257,949 × 257,949
  4. Step 4: Simplify right side
    124,543.50x = 66,537,686,601
  5. Step 5: Solve for x
    x = 66,537,686,601/124,543.50
  6. Step 6: Final answer
    x = 534,252.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.