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Finding the Third Proportional to 103,730 and 146,787

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Solution

The third proportional to 103,730 and 146,787 is: 207,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,730 : 146,787 = 146,787 : x
  2. Step 2: Convert to fraction form
    103,730/146,787 = 146,787/x
  3. Step 3: Cross multiply
    103,730x = 146,787 × 146,787
  4. Step 4: Simplify right side
    103,730x = 21,546,423,369
  5. Step 5: Solve for x
    x = 21,546,423,369/103,730
  6. Step 6: Final answer
    x = 207,716.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.