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Finding the Third Proportional to 56,565 and 122,971.50

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Solution

The third proportional to 56,565 and 122,971.50 is: 267,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,565 : 122,971.50 = 122,971.50 : x
  2. Step 2: Convert to fraction form
    56,565/122,971.50 = 122,971.50/x
  3. Step 3: Cross multiply
    56,565x = 122,971.50 × 122,971.50
  4. Step 4: Simplify right side
    56,565x = 15,121,989,812.25
  5. Step 5: Solve for x
    x = 15,121,989,812.25/56,565
  6. Step 6: Final answer
    x = 267,338.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.