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Finding the Third Proportional to 91,415 and 138,887

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Solution

The third proportional to 91,415 and 138,887 is: 211,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,415 : 138,887 = 138,887 : x
  2. Step 2: Convert to fraction form
    91,415/138,887 = 138,887/x
  3. Step 3: Cross multiply
    91,415x = 138,887 × 138,887
  4. Step 4: Simplify right side
    91,415x = 19,289,598,769
  5. Step 5: Solve for x
    x = 19,289,598,769/91,415
  6. Step 6: Final answer
    x = 211,011.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.