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Finding the Third Proportional to 70,922.81 and 109,812.94

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Solution

The third proportional to 70,922.81 and 109,812.94 is: 170,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,922.81 : 109,812.94 = 109,812.94 : x
  2. Step 2: Convert to fraction form
    70,922.81/109,812.94 = 109,812.94/x
  3. Step 3: Cross multiply
    70,922.81x = 109,812.94 × 109,812.94
  4. Step 4: Simplify right side
    70,922.81x = 12,058,881,242.38
  5. Step 5: Solve for x
    x = 12,058,881,242.38/70,922.81
  6. Step 6: Final answer
    x = 170,028.24

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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.