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Finding the Third Proportional to 56,431 and 117,590

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Solution

The third proportional to 56,431 and 117,590 is: 245,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,431 : 117,590 = 117,590 : x
  2. Step 2: Convert to fraction form
    56,431/117,590 = 117,590/x
  3. Step 3: Cross multiply
    56,431x = 117,590 × 117,590
  4. Step 4: Simplify right side
    56,431x = 13,827,408,100
  5. Step 5: Solve for x
    x = 13,827,408,100/56,431
  6. Step 6: Final answer
    x = 245,032.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.