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Finding the Third Proportional to 52,597 and 113,618

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Solution

The third proportional to 52,597 and 113,618 is: 245,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,597 : 113,618 = 113,618 : x
  2. Step 2: Convert to fraction form
    52,597/113,618 = 113,618/x
  3. Step 3: Cross multiply
    52,597x = 113,618 × 113,618
  4. Step 4: Simplify right side
    52,597x = 12,909,049,924
  5. Step 5: Solve for x
    x = 12,909,049,924/52,597
  6. Step 6: Final answer
    x = 245,433.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.