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Finding the Third Proportional to 56,758 and 81,618

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Solution

The third proportional to 56,758 and 81,618 is: 117,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,758 : 81,618 = 81,618 : x
  2. Step 2: Convert to fraction form
    56,758/81,618 = 81,618/x
  3. Step 3: Cross multiply
    56,758x = 81,618 × 81,618
  4. Step 4: Simplify right side
    56,758x = 6,661,497,924
  5. Step 5: Solve for x
    x = 6,661,497,924/56,758
  6. Step 6: Final answer
    x = 117,366.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.