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Finding the Third Proportional to 91,829 and 138,014

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Solution

The third proportional to 91,829 and 138,014 is: 207,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,829 : 138,014 = 138,014 : x
  2. Step 2: Convert to fraction form
    91,829/138,014 = 138,014/x
  3. Step 3: Cross multiply
    91,829x = 138,014 × 138,014
  4. Step 4: Simplify right side
    91,829x = 19,047,864,196
  5. Step 5: Solve for x
    x = 19,047,864,196/91,829
  6. Step 6: Final answer
    x = 207,427.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.