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Finding the Third Proportional to 58,367 and 85,480

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Solution

The third proportional to 58,367 and 85,480 is: 125,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,367 : 85,480 = 85,480 : x
  2. Step 2: Convert to fraction form
    58,367/85,480 = 85,480/x
  3. Step 3: Cross multiply
    58,367x = 85,480 × 85,480
  4. Step 4: Simplify right side
    58,367x = 7,306,830,400
  5. Step 5: Solve for x
    x = 7,306,830,400/58,367
  6. Step 6: Final answer
    x = 125,187.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.