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Finding the Third Proportional to 58,446 and 83,288

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Solution

The third proportional to 58,446 and 83,288 is: 118,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,446 : 83,288 = 83,288 : x
  2. Step 2: Convert to fraction form
    58,446/83,288 = 83,288/x
  3. Step 3: Cross multiply
    58,446x = 83,288 × 83,288
  4. Step 4: Simplify right side
    58,446x = 6,936,890,944
  5. Step 5: Solve for x
    x = 6,936,890,944/58,446
  6. Step 6: Final answer
    x = 118,688.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.