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Finding the Third Proportional to 53,596 and 124,618

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Solution

The third proportional to 53,596 and 124,618 is: 289,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,596 : 124,618 = 124,618 : x
  2. Step 2: Convert to fraction form
    53,596/124,618 = 124,618/x
  3. Step 3: Cross multiply
    53,596x = 124,618 × 124,618
  4. Step 4: Simplify right side
    53,596x = 15,529,645,924
  5. Step 5: Solve for x
    x = 15,529,645,924/53,596
  6. Step 6: Final answer
    x = 289,753.82

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.