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Finding the Third Proportional to 102,535.88 and 138,029.06

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Solution

The third proportional to 102,535.88 and 138,029.06 is: 185,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,535.88 : 138,029.06 = 138,029.06 : x
  2. Step 2: Convert to fraction form
    102,535.88/138,029.06 = 138,029.06/x
  3. Step 3: Cross multiply
    102,535.88x = 138,029.06 × 138,029.06
  4. Step 4: Simplify right side
    102,535.88x = 19,052,022,094.63
  5. Step 5: Solve for x
    x = 19,052,022,094.63/102,535.88
  6. Step 6: Final answer
    x = 185,808.35

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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.