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Finding the Third Proportional to 120,886.50 and 169,935.75

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Solution

The third proportional to 120,886.50 and 169,935.75 is: 238,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,886.50 : 169,935.75 = 169,935.75 : x
  2. Step 2: Convert to fraction form
    120,886.50/169,935.75 = 169,935.75/x
  3. Step 3: Cross multiply
    120,886.50x = 169,935.75 × 169,935.75
  4. Step 4: Simplify right side
    120,886.50x = 28,878,159,128.06
  5. Step 5: Solve for x
    x = 28,878,159,128.06/120,886.50
  6. Step 6: Final answer
    x = 238,886.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.