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Finding the Third Proportional to 58,541 and 83,654

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Solution

The third proportional to 58,541 and 83,654 is: 119,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,541 : 83,654 = 83,654 : x
  2. Step 2: Convert to fraction form
    58,541/83,654 = 83,654/x
  3. Step 3: Cross multiply
    58,541x = 83,654 × 83,654
  4. Step 4: Simplify right side
    58,541x = 6,997,991,716
  5. Step 5: Solve for x
    x = 6,997,991,716/58,541
  6. Step 6: Final answer
    x = 119,540.01

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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.