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Finding the Third Proportional to 103,281.75 and 158,802.19

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Solution

The third proportional to 103,281.75 and 158,802.19 is: 244,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,281.75 : 158,802.19 = 158,802.19 : x
  2. Step 2: Convert to fraction form
    103,281.75/158,802.19 = 158,802.19/x
  3. Step 3: Cross multiply
    103,281.75x = 158,802.19 × 158,802.19
  4. Step 4: Simplify right side
    103,281.75x = 25,218,134,754.79
  5. Step 5: Solve for x
    x = 25,218,134,754.79/103,281.75
  6. Step 6: Final answer
    x = 244,168.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.