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Finding the Third Proportional to 89,292 and 121,270.50

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Solution

The third proportional to 89,292 and 121,270.50 is: 164,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,292 : 121,270.50 = 121,270.50 : x
  2. Step 2: Convert to fraction form
    89,292/121,270.50 = 121,270.50/x
  3. Step 3: Cross multiply
    89,292x = 121,270.50 × 121,270.50
  4. Step 4: Simplify right side
    89,292x = 14,706,534,170.25
  5. Step 5: Solve for x
    x = 14,706,534,170.25/89,292
  6. Step 6: Final answer
    x = 164,701.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.