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Finding the Third Proportional to 63,358 and 135,562

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Solution

The third proportional to 63,358 and 135,562 is: 290,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,358 : 135,562 = 135,562 : x
  2. Step 2: Convert to fraction form
    63,358/135,562 = 135,562/x
  3. Step 3: Cross multiply
    63,358x = 135,562 × 135,562
  4. Step 4: Simplify right side
    63,358x = 18,377,055,844
  5. Step 5: Solve for x
    x = 18,377,055,844/63,358
  6. Step 6: Final answer
    x = 290,051.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.