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Finding the Third Proportional to 46,344 and 74,618

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Solution

The third proportional to 46,344 and 74,618 is: 120,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,344 : 74,618 = 74,618 : x
  2. Step 2: Convert to fraction form
    46,344/74,618 = 74,618/x
  3. Step 3: Cross multiply
    46,344x = 74,618 × 74,618
  4. Step 4: Simplify right side
    46,344x = 5,567,845,924
  5. Step 5: Solve for x
    x = 5,567,845,924/46,344
  6. Step 6: Final answer
    x = 120,141.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.