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Finding the Third Proportional to 57,569.06 and 123,886.13

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Solution

The third proportional to 57,569.06 and 123,886.13 is: 266,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,569.06 : 123,886.13 = 123,886.13 : x
  2. Step 2: Convert to fraction form
    57,569.06/123,886.13 = 123,886.13/x
  3. Step 3: Cross multiply
    57,569.06x = 123,886.13 × 123,886.13
  4. Step 4: Simplify right side
    57,569.06x = 15,347,771,967.52
  5. Step 5: Solve for x
    x = 15,347,771,967.52/57,569.06
  6. Step 6: Final answer
    x = 266,597.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.