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Finding the Third Proportional to 101,452 and 151,618

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Solution

The third proportional to 101,452 and 151,618 is: 226,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,452 : 151,618 = 151,618 : x
  2. Step 2: Convert to fraction form
    101,452/151,618 = 151,618/x
  3. Step 3: Cross multiply
    101,452x = 151,618 × 151,618
  4. Step 4: Simplify right side
    101,452x = 22,988,017,924
  5. Step 5: Solve for x
    x = 22,988,017,924/101,452
  6. Step 6: Final answer
    x = 226,590.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.