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Finding the Third Proportional to 58,200 and 85,284

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Solution

The third proportional to 58,200 and 85,284 is: 124,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,200 : 85,284 = 85,284 : x
  2. Step 2: Convert to fraction form
    58,200/85,284 = 85,284/x
  3. Step 3: Cross multiply
    58,200x = 85,284 × 85,284
  4. Step 4: Simplify right side
    58,200x = 7,273,360,656
  5. Step 5: Solve for x
    x = 7,273,360,656/58,200
  6. Step 6: Final answer
    x = 124,971.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.