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Finding the Third Proportional to 58,578 and 83,457

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Solution

The third proportional to 58,578 and 83,457 is: 118,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,578 : 83,457 = 83,457 : x
  2. Step 2: Convert to fraction form
    58,578/83,457 = 83,457/x
  3. Step 3: Cross multiply
    58,578x = 83,457 × 83,457
  4. Step 4: Simplify right side
    58,578x = 6,965,070,849
  5. Step 5: Solve for x
    x = 6,965,070,849/58,578
  6. Step 6: Final answer
    x = 118,902.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.