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Finding the Third Proportional to 58,270.50 and 125,037

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Solution

The third proportional to 58,270.50 and 125,037 is: 268,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,270.50 : 125,037 = 125,037 : x
  2. Step 2: Convert to fraction form
    58,270.50/125,037 = 125,037/x
  3. Step 3: Cross multiply
    58,270.50x = 125,037 × 125,037
  4. Step 4: Simplify right side
    58,270.50x = 15,634,251,369
  5. Step 5: Solve for x
    x = 15,634,251,369/58,270.50
  6. Step 6: Final answer
    x = 268,304.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.