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Finding the Third Proportional to 56,430 and 124,002

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Solution

The third proportional to 56,430 and 124,002 is: 272,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,430 : 124,002 = 124,002 : x
  2. Step 2: Convert to fraction form
    56,430/124,002 = 124,002/x
  3. Step 3: Cross multiply
    56,430x = 124,002 × 124,002
  4. Step 4: Simplify right side
    56,430x = 15,376,496,004
  5. Step 5: Solve for x
    x = 15,376,496,004/56,430
  6. Step 6: Final answer
    x = 272,487.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.