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Finding the Third Proportional to 85,215 and 116,887

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Solution

The third proportional to 85,215 and 116,887 is: 160,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,215 : 116,887 = 116,887 : x
  2. Step 2: Convert to fraction form
    85,215/116,887 = 116,887/x
  3. Step 3: Cross multiply
    85,215x = 116,887 × 116,887
  4. Step 4: Simplify right side
    85,215x = 13,662,570,769
  5. Step 5: Solve for x
    x = 13,662,570,769/85,215
  6. Step 6: Final answer
    x = 160,330.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.