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Finding the Third Proportional to 56,442 and 123,090

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Solution

The third proportional to 56,442 and 123,090 is: 268,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442 : 123,090 = 123,090 : x
  2. Step 2: Convert to fraction form
    56,442/123,090 = 123,090/x
  3. Step 3: Cross multiply
    56,442x = 123,090 × 123,090
  4. Step 4: Simplify right side
    56,442x = 15,151,148,100
  5. Step 5: Solve for x
    x = 15,151,148,100/56,442
  6. Step 6: Final answer
    x = 268,437.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.