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Finding the Third Proportional to 112,304.81 and 169,627.50

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Solution

The third proportional to 112,304.81 and 169,627.50 is: 256,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,304.81 : 169,627.50 = 169,627.50 : x
  2. Step 2: Convert to fraction form
    112,304.81/169,627.50 = 169,627.50/x
  3. Step 3: Cross multiply
    112,304.81x = 169,627.50 × 169,627.50
  4. Step 4: Simplify right side
    112,304.81x = 28,773,488,756.25
  5. Step 5: Solve for x
    x = 28,773,488,756.25/112,304.81
  6. Step 6: Final answer
    x = 256,208.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.