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Finding the Third Proportional to 97,382 and 146,715

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Solution

The third proportional to 97,382 and 146,715 is: 221,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,382 : 146,715 = 146,715 : x
  2. Step 2: Convert to fraction form
    97,382/146,715 = 146,715/x
  3. Step 3: Cross multiply
    97,382x = 146,715 × 146,715
  4. Step 4: Simplify right side
    97,382x = 21,525,291,225
  5. Step 5: Solve for x
    x = 21,525,291,225/97,382
  6. Step 6: Final answer
    x = 221,039.73

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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.