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Finding the Third Proportional to 70,894.13 and 109,769.63

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Solution

The third proportional to 70,894.13 and 109,769.63 is: 169,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.13 : 109,769.63 = 109,769.63 : x
  2. Step 2: Convert to fraction form
    70,894.13/109,769.63 = 109,769.63/x
  3. Step 3: Cross multiply
    70,894.13x = 109,769.63 × 109,769.63
  4. Step 4: Simplify right side
    70,894.13x = 12,049,370,572.64
  5. Step 5: Solve for x
    x = 12,049,370,572.64/70,894.13
  6. Step 6: Final answer
    x = 169,962.89

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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.