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Finding the Third Proportional to 106,532 and 165,618

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Solution

The third proportional to 106,532 and 165,618 is: 257,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,532 : 165,618 = 165,618 : x
  2. Step 2: Convert to fraction form
    106,532/165,618 = 165,618/x
  3. Step 3: Cross multiply
    106,532x = 165,618 × 165,618
  4. Step 4: Simplify right side
    106,532x = 27,429,321,924
  5. Step 5: Solve for x
    x = 27,429,321,924/106,532
  6. Step 6: Final answer
    x = 257,474.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.