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Finding the Third Proportional to 75,618 and 162,792

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Solution

The third proportional to 75,618 and 162,792 is: 350,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,618 : 162,792 = 162,792 : x
  2. Step 2: Convert to fraction form
    75,618/162,792 = 162,792/x
  3. Step 3: Cross multiply
    75,618x = 162,792 × 162,792
  4. Step 4: Simplify right side
    75,618x = 26,501,235,264
  5. Step 5: Solve for x
    x = 26,501,235,264/75,618
  6. Step 6: Final answer
    x = 350,462.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.