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Finding the Third Proportional to 92,890 and 153,683

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Solution

The third proportional to 92,890 and 153,683 is: 254,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,890 : 153,683 = 153,683 : x
  2. Step 2: Convert to fraction form
    92,890/153,683 = 153,683/x
  3. Step 3: Cross multiply
    92,890x = 153,683 × 153,683
  4. Step 4: Simplify right side
    92,890x = 23,618,464,489
  5. Step 5: Solve for x
    x = 23,618,464,489/92,890
  6. Step 6: Final answer
    x = 254,262.72

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.