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Finding the Third Proportional to 99,618 and 152,454

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Solution

The third proportional to 99,618 and 152,454 is: 233,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,618 : 152,454 = 152,454 : x
  2. Step 2: Convert to fraction form
    99,618/152,454 = 152,454/x
  3. Step 3: Cross multiply
    99,618x = 152,454 × 152,454
  4. Step 4: Simplify right side
    99,618x = 23,242,222,116
  5. Step 5: Solve for x
    x = 23,242,222,116/99,618
  6. Step 6: Final answer
    x = 233,313.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.