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Finding the Third Proportional to 42,359 and 90,535

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Solution

The third proportional to 42,359 and 90,535 is: 193,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,359 : 90,535 = 90,535 : x
  2. Step 2: Convert to fraction form
    42,359/90,535 = 90,535/x
  3. Step 3: Cross multiply
    42,359x = 90,535 × 90,535
  4. Step 4: Simplify right side
    42,359x = 8,196,586,225
  5. Step 5: Solve for x
    x = 8,196,586,225/42,359
  6. Step 6: Final answer
    x = 193,502.83

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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.