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Finding the Third Proportional to 56,316 and 120,496

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Solution

The third proportional to 56,316 and 120,496 is: 257,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,316 : 120,496 = 120,496 : x
  2. Step 2: Convert to fraction form
    56,316/120,496 = 120,496/x
  3. Step 3: Cross multiply
    56,316x = 120,496 × 120,496
  4. Step 4: Simplify right side
    56,316x = 14,519,286,016
  5. Step 5: Solve for x
    x = 14,519,286,016/56,316
  6. Step 6: Final answer
    x = 257,818.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.