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Finding the Third Proportional to 89,712 and 185,071.50

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Solution

The third proportional to 89,712 and 185,071.50 is: 381,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,712 : 185,071.50 = 185,071.50 : x
  2. Step 2: Convert to fraction form
    89,712/185,071.50 = 185,071.50/x
  3. Step 3: Cross multiply
    89,712x = 185,071.50 × 185,071.50
  4. Step 4: Simplify right side
    89,712x = 34,251,460,112.25
  5. Step 5: Solve for x
    x = 34,251,460,112.25/89,712
  6. Step 6: Final answer
    x = 381,793.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.