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Finding the Third Proportional to 58,572 and 128,296

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Solution

The third proportional to 58,572 and 128,296 is: 281,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,572 : 128,296 = 128,296 : x
  2. Step 2: Convert to fraction form
    58,572/128,296 = 128,296/x
  3. Step 3: Cross multiply
    58,572x = 128,296 × 128,296
  4. Step 4: Simplify right side
    58,572x = 16,459,863,616
  5. Step 5: Solve for x
    x = 16,459,863,616/58,572
  6. Step 6: Final answer
    x = 281,019.32

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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.