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Finding the Third Proportional to 58,500 and 83,358

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Solution

The third proportional to 58,500 and 83,358 is: 118,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,500 : 83,358 = 83,358 : x
  2. Step 2: Convert to fraction form
    58,500/83,358 = 83,358/x
  3. Step 3: Cross multiply
    58,500x = 83,358 × 83,358
  4. Step 4: Simplify right side
    58,500x = 6,948,556,164
  5. Step 5: Solve for x
    x = 6,948,556,164/58,500
  6. Step 6: Final answer
    x = 118,778.74

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