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Finding the Third Proportional to 69,210 and 90,875.25

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Solution

The third proportional to 69,210 and 90,875.25 is: 119,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,210 : 90,875.25 = 90,875.25 : x
  2. Step 2: Convert to fraction form
    69,210/90,875.25 = 90,875.25/x
  3. Step 3: Cross multiply
    69,210x = 90,875.25 × 90,875.25
  4. Step 4: Simplify right side
    69,210x = 8,258,311,062.56
  5. Step 5: Solve for x
    x = 8,258,311,062.56/69,210
  6. Step 6: Final answer
    x = 119,322.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.