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Finding the Third Proportional to 61,398 and 93,015

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Solution

The third proportional to 61,398 and 93,015 is: 140,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398 : 93,015 = 93,015 : x
  2. Step 2: Convert to fraction form
    61,398/93,015 = 93,015/x
  3. Step 3: Cross multiply
    61,398x = 93,015 × 93,015
  4. Step 4: Simplify right side
    61,398x = 8,651,790,225
  5. Step 5: Solve for x
    x = 8,651,790,225/61,398
  6. Step 6: Final answer
    x = 140,913.23

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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.