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Finding the Third Proportional to 70,048.13 and 105,801.19

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Solution

The third proportional to 70,048.13 and 105,801.19 is: 159,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,048.13 : 105,801.19 = 105,801.19 : x
  2. Step 2: Convert to fraction form
    70,048.13/105,801.19 = 105,801.19/x
  3. Step 3: Cross multiply
    70,048.13x = 105,801.19 × 105,801.19
  4. Step 4: Simplify right side
    70,048.13x = 11,193,891,276.41
  5. Step 5: Solve for x
    x = 11,193,891,276.41/70,048.13
  6. Step 6: Final answer
    x = 159,802.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.