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Finding the Third Proportional to 61,658 and 93,153

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Solution

The third proportional to 61,658 and 93,153 is: 140,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,658 : 93,153 = 93,153 : x
  2. Step 2: Convert to fraction form
    61,658/93,153 = 93,153/x
  3. Step 3: Cross multiply
    61,658x = 93,153 × 93,153
  4. Step 4: Simplify right side
    61,658x = 8,677,481,409
  5. Step 5: Solve for x
    x = 8,677,481,409/61,658
  6. Step 6: Final answer
    x = 140,735.69

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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.