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Finding the Third Proportional to 48,250 and 76,585

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Solution

The third proportional to 48,250 and 76,585 is: 121,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,250 : 76,585 = 76,585 : x
  2. Step 2: Convert to fraction form
    48,250/76,585 = 76,585/x
  3. Step 3: Cross multiply
    48,250x = 76,585 × 76,585
  4. Step 4: Simplify right side
    48,250x = 5,865,262,225
  5. Step 5: Solve for x
    x = 5,865,262,225/48,250
  6. Step 6: Final answer
    x = 121,559.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.