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Finding the Third Proportional to 75,859 and 156,618

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Solution

The third proportional to 75,859 and 156,618 is: 323,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,859 : 156,618 = 156,618 : x
  2. Step 2: Convert to fraction form
    75,859/156,618 = 156,618/x
  3. Step 3: Cross multiply
    75,859x = 156,618 × 156,618
  4. Step 4: Simplify right side
    75,859x = 24,529,197,924
  5. Step 5: Solve for x
    x = 24,529,197,924/75,859
  6. Step 6: Final answer
    x = 323,352.51

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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.