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Finding the Third Proportional to 82,618 and 124,702

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Solution

The third proportional to 82,618 and 124,702 is: 188,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,618 : 124,702 = 124,702 : x
  2. Step 2: Convert to fraction form
    82,618/124,702 = 124,702/x
  3. Step 3: Cross multiply
    82,618x = 124,702 × 124,702
  4. Step 4: Simplify right side
    82,618x = 15,550,588,804
  5. Step 5: Solve for x
    x = 15,550,588,804/82,618
  6. Step 6: Final answer
    x = 188,222.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.