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Finding the Third Proportional to 56,594 and 124,484

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Solution

The third proportional to 56,594 and 124,484 is: 273,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,594 : 124,484 = 124,484 : x
  2. Step 2: Convert to fraction form
    56,594/124,484 = 124,484/x
  3. Step 3: Cross multiply
    56,594x = 124,484 × 124,484
  4. Step 4: Simplify right side
    56,594x = 15,496,266,256
  5. Step 5: Solve for x
    x = 15,496,266,256/56,594
  6. Step 6: Final answer
    x = 273,814.65

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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.