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Finding the Third Proportional to 70,950.19 and 109,867.88

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Solution

The third proportional to 70,950.19 and 109,867.88 is: 170,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,950.19 : 109,867.88 = 109,867.88 : x
  2. Step 2: Convert to fraction form
    70,950.19/109,867.88 = 109,867.88/x
  3. Step 3: Cross multiply
    70,950.19x = 109,867.88 × 109,867.88
  4. Step 4: Simplify right side
    70,950.19x = 12,070,949,957.02
  5. Step 5: Solve for x
    x = 12,070,949,957.02/70,950.19
  6. Step 6: Final answer
    x = 170,132.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.