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Finding the Third Proportional to 70,895.25 and 102,151.13

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Solution

The third proportional to 70,895.25 and 102,151.13 is: 147,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,895.25 : 102,151.13 = 102,151.13 : x
  2. Step 2: Convert to fraction form
    70,895.25/102,151.13 = 102,151.13/x
  3. Step 3: Cross multiply
    70,895.25x = 102,151.13 × 102,151.13
  4. Step 4: Simplify right side
    70,895.25x = 10,434,852,338.77
  5. Step 5: Solve for x
    x = 10,434,852,338.77/70,895.25
  6. Step 6: Final answer
    x = 147,186.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.