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Finding the Third Proportional to 91,587 and 145,301

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Solution

The third proportional to 91,587 and 145,301 is: 230,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,587 : 145,301 = 145,301 : x
  2. Step 2: Convert to fraction form
    91,587/145,301 = 145,301/x
  3. Step 3: Cross multiply
    91,587x = 145,301 × 145,301
  4. Step 4: Simplify right side
    91,587x = 21,112,380,601
  5. Step 5: Solve for x
    x = 21,112,380,601/91,587
  6. Step 6: Final answer
    x = 230,517.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.