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Finding the Third Proportional to 113,020 and 165,473

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Solution

The third proportional to 113,020 and 165,473 is: 242,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,020 : 165,473 = 165,473 : x
  2. Step 2: Convert to fraction form
    113,020/165,473 = 165,473/x
  3. Step 3: Cross multiply
    113,020x = 165,473 × 165,473
  4. Step 4: Simplify right side
    113,020x = 27,381,313,729
  5. Step 5: Solve for x
    x = 27,381,313,729/113,020
  6. Step 6: Final answer
    x = 242,269.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.