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Finding the Third Proportional to 58,234 and 124,778

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Solution

The third proportional to 58,234 and 124,778 is: 267,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,234 : 124,778 = 124,778 : x
  2. Step 2: Convert to fraction form
    58,234/124,778 = 124,778/x
  3. Step 3: Cross multiply
    58,234x = 124,778 × 124,778
  4. Step 4: Simplify right side
    58,234x = 15,569,549,284
  5. Step 5: Solve for x
    x = 15,569,549,284/58,234
  6. Step 6: Final answer
    x = 267,361.84

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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.