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Finding the Third Proportional to 59,202 and 90,565

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Solution

The third proportional to 59,202 and 90,565 is: 138,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,202 : 90,565 = 90,565 : x
  2. Step 2: Convert to fraction form
    59,202/90,565 = 90,565/x
  3. Step 3: Cross multiply
    59,202x = 90,565 × 90,565
  4. Step 4: Simplify right side
    59,202x = 8,202,019,225
  5. Step 5: Solve for x
    x = 8,202,019,225/59,202
  6. Step 6: Final answer
    x = 138,542.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.