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Finding the Third Proportional to 57,327 and 121,618

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Solution

The third proportional to 57,327 and 121,618 is: 258,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,327 : 121,618 = 121,618 : x
  2. Step 2: Convert to fraction form
    57,327/121,618 = 121,618/x
  3. Step 3: Cross multiply
    57,327x = 121,618 × 121,618
  4. Step 4: Simplify right side
    57,327x = 14,790,937,924
  5. Step 5: Solve for x
    x = 14,790,937,924/57,327
  6. Step 6: Final answer
    x = 258,009.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.