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Finding the Third Proportional to 60,165 and 93,465

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Solution

The third proportional to 60,165 and 93,465 is: 145,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,165 : 93,465 = 93,465 : x
  2. Step 2: Convert to fraction form
    60,165/93,465 = 93,465/x
  3. Step 3: Cross multiply
    60,165x = 93,465 × 93,465
  4. Step 4: Simplify right side
    60,165x = 8,735,706,225
  5. Step 5: Solve for x
    x = 8,735,706,225/60,165
  6. Step 6: Final answer
    x = 145,195.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.