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Finding the Third Proportional to 97,034 and 133,618

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Solution

The third proportional to 97,034 and 133,618 is: 183,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,034 : 133,618 = 133,618 : x
  2. Step 2: Convert to fraction form
    97,034/133,618 = 133,618/x
  3. Step 3: Cross multiply
    97,034x = 133,618 × 133,618
  4. Step 4: Simplify right side
    97,034x = 17,853,769,924
  5. Step 5: Solve for x
    x = 17,853,769,924/97,034
  6. Step 6: Final answer
    x = 183,994.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.