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Finding the Third Proportional to 58,486 and 85,360

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Solution

The third proportional to 58,486 and 85,360 is: 124,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,486 : 85,360 = 85,360 : x
  2. Step 2: Convert to fraction form
    58,486/85,360 = 85,360/x
  3. Step 3: Cross multiply
    58,486x = 85,360 × 85,360
  4. Step 4: Simplify right side
    58,486x = 7,286,329,600
  5. Step 5: Solve for x
    x = 7,286,329,600/58,486
  6. Step 6: Final answer
    x = 124,582.46

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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.