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Finding the Third Proportional to 61,472 and 134,520

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Solution

The third proportional to 61,472 and 134,520 is: 294,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,472 : 134,520 = 134,520 : x
  2. Step 2: Convert to fraction form
    61,472/134,520 = 134,520/x
  3. Step 3: Cross multiply
    61,472x = 134,520 × 134,520
  4. Step 4: Simplify right side
    61,472x = 18,095,630,400
  5. Step 5: Solve for x
    x = 18,095,630,400/61,472
  6. Step 6: Final answer
    x = 294,371.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.