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Finding the Third Proportional to 65,530 and 140,618

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Solution

The third proportional to 65,530 and 140,618 is: 301,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530 : 140,618 = 140,618 : x
  2. Step 2: Convert to fraction form
    65,530/140,618 = 140,618/x
  3. Step 3: Cross multiply
    65,530x = 140,618 × 140,618
  4. Step 4: Simplify right side
    65,530x = 19,773,421,924
  5. Step 5: Solve for x
    x = 19,773,421,924/65,530
  6. Step 6: Final answer
    x = 301,746.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.