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Finding the Third Proportional to 56,480 and 124,024

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Solution

The third proportional to 56,480 and 124,024 is: 272,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,480 : 124,024 = 124,024 : x
  2. Step 2: Convert to fraction form
    56,480/124,024 = 124,024/x
  3. Step 3: Cross multiply
    56,480x = 124,024 × 124,024
  4. Step 4: Simplify right side
    56,480x = 15,381,952,576
  5. Step 5: Solve for x
    x = 15,381,952,576/56,480
  6. Step 6: Final answer
    x = 272,343.35

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Why These Related Problems?

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