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Finding the Third Proportional to 56,417 and 117,487

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Solution

The third proportional to 56,417 and 117,487 is: 244,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,417 : 117,487 = 117,487 : x
  2. Step 2: Convert to fraction form
    56,417/117,487 = 117,487/x
  3. Step 3: Cross multiply
    56,417x = 117,487 × 117,487
  4. Step 4: Simplify right side
    56,417x = 13,803,195,169
  5. Step 5: Solve for x
    x = 13,803,195,169/56,417
  6. Step 6: Final answer
    x = 244,663.76

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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.