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Finding the Third Proportional to 70,279.88 and 112,406.63

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Solution

The third proportional to 70,279.88 and 112,406.63 is: 179,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,279.88 : 112,406.63 = 112,406.63 : x
  2. Step 2: Convert to fraction form
    70,279.88/112,406.63 = 112,406.63/x
  3. Step 3: Cross multiply
    70,279.88x = 112,406.63 × 112,406.63
  4. Step 4: Simplify right side
    70,279.88x = 12,635,249,343.89
  5. Step 5: Solve for x
    x = 12,635,249,343.89/70,279.88
  6. Step 6: Final answer
    x = 179,784.74

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.