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Finding the Third Proportional to 95,896 and 148,618

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Solution

The third proportional to 95,896 and 148,618 is: 230,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,896 : 148,618 = 148,618 : x
  2. Step 2: Convert to fraction form
    95,896/148,618 = 148,618/x
  3. Step 3: Cross multiply
    95,896x = 148,618 × 148,618
  4. Step 4: Simplify right side
    95,896x = 22,087,309,924
  5. Step 5: Solve for x
    x = 22,087,309,924/95,896
  6. Step 6: Final answer
    x = 230,325.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.