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Finding the Third Proportional to 84,889.75 and 114,878.63

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Solution

The third proportional to 84,889.75 and 114,878.63 is: 155,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,889.75 : 114,878.63 = 114,878.63 : x
  2. Step 2: Convert to fraction form
    84,889.75/114,878.63 = 114,878.63/x
  3. Step 3: Cross multiply
    84,889.75x = 114,878.63 × 114,878.63
  4. Step 4: Simplify right side
    84,889.75x = 13,197,098,481.89
  5. Step 5: Solve for x
    x = 13,197,098,481.89/84,889.75
  6. Step 6: Final answer
    x = 155,461.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.