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Finding the Third Proportional to 94,656 and 143,712

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Solution

The third proportional to 94,656 and 143,712 is: 218,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,656 : 143,712 = 143,712 : x
  2. Step 2: Convert to fraction form
    94,656/143,712 = 143,712/x
  3. Step 3: Cross multiply
    94,656x = 143,712 × 143,712
  4. Step 4: Simplify right side
    94,656x = 20,653,138,944
  5. Step 5: Solve for x
    x = 20,653,138,944/94,656
  6. Step 6: Final answer
    x = 218,191.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.