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Finding the Third Proportional to 70,246.13 and 152,965.13

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Solution

The third proportional to 70,246.13 and 152,965.13 is: 333,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,246.13 : 152,965.13 = 152,965.13 : x
  2. Step 2: Convert to fraction form
    70,246.13/152,965.13 = 152,965.13/x
  3. Step 3: Cross multiply
    70,246.13x = 152,965.13 × 152,965.13
  4. Step 4: Simplify right side
    70,246.13x = 23,398,329,466.27
  5. Step 5: Solve for x
    x = 23,398,329,466.27/70,246.13
  6. Step 6: Final answer
    x = 333,090.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.