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Finding the Third Proportional to 70,151.06 and 144,438.19

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Solution

The third proportional to 70,151.06 and 144,438.19 is: 297,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,151.06 : 144,438.19 = 144,438.19 : x
  2. Step 2: Convert to fraction form
    70,151.06/144,438.19 = 144,438.19/x
  3. Step 3: Cross multiply
    70,151.06x = 144,438.19 × 144,438.19
  4. Step 4: Simplify right side
    70,151.06x = 20,862,390,008.29
  5. Step 5: Solve for x
    x = 20,862,390,008.29/70,151.06
  6. Step 6: Final answer
    x = 297,392.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.