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Finding the Third Proportional to 59,780 and 90,118

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Solution

The third proportional to 59,780 and 90,118 is: 135,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780 : 90,118 = 90,118 : x
  2. Step 2: Convert to fraction form
    59,780/90,118 = 90,118/x
  3. Step 3: Cross multiply
    59,780x = 90,118 × 90,118
  4. Step 4: Simplify right side
    59,780x = 8,121,253,924
  5. Step 5: Solve for x
    x = 8,121,253,924/59,780
  6. Step 6: Final answer
    x = 135,852.36

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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.