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Finding the Third Proportional to 58,472 and 126,784

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Solution

The third proportional to 58,472 and 126,784 is: 274,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,472 : 126,784 = 126,784 : x
  2. Step 2: Convert to fraction form
    58,472/126,784 = 126,784/x
  3. Step 3: Cross multiply
    58,472x = 126,784 × 126,784
  4. Step 4: Simplify right side
    58,472x = 16,074,182,656
  5. Step 5: Solve for x
    x = 16,074,182,656/58,472
  6. Step 6: Final answer
    x = 274,903.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.