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Finding the Third Proportional to 56,234 and 121,648

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Solution

The third proportional to 56,234 and 121,648 is: 263,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,234 : 121,648 = 121,648 : x
  2. Step 2: Convert to fraction form
    56,234/121,648 = 121,648/x
  3. Step 3: Cross multiply
    56,234x = 121,648 × 121,648
  4. Step 4: Simplify right side
    56,234x = 14,798,235,904
  5. Step 5: Solve for x
    x = 14,798,235,904/56,234
  6. Step 6: Final answer
    x = 263,154.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.