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Finding the Third Proportional to 42,565 and 86,346

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Solution

The third proportional to 42,565 and 86,346 is: 175,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,565 : 86,346 = 86,346 : x
  2. Step 2: Convert to fraction form
    42,565/86,346 = 86,346/x
  3. Step 3: Cross multiply
    42,565x = 86,346 × 86,346
  4. Step 4: Simplify right side
    42,565x = 7,455,631,716
  5. Step 5: Solve for x
    x = 7,455,631,716/42,565
  6. Step 6: Final answer
    x = 175,158.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.