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Finding the Third Proportional to 58,459 and 83,600

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Solution

The third proportional to 58,459 and 83,600 is: 119,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,459 : 83,600 = 83,600 : x
  2. Step 2: Convert to fraction form
    58,459/83,600 = 83,600/x
  3. Step 3: Cross multiply
    58,459x = 83,600 × 83,600
  4. Step 4: Simplify right side
    58,459x = 6,988,960,000
  5. Step 5: Solve for x
    x = 6,988,960,000/58,459
  6. Step 6: Final answer
    x = 119,553.19

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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.