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Finding the Third Proportional to 61,825 and 93,315

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Solution

The third proportional to 61,825 and 93,315 is: 140,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,825 : 93,315 = 93,315 : x
  2. Step 2: Convert to fraction form
    61,825/93,315 = 93,315/x
  3. Step 3: Cross multiply
    61,825x = 93,315 × 93,315
  4. Step 4: Simplify right side
    61,825x = 8,707,689,225
  5. Step 5: Solve for x
    x = 8,707,689,225/61,825
  6. Step 6: Final answer
    x = 140,844.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.