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Finding the Third Proportional to 78,074.50 and 173,618

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Solution

The third proportional to 78,074.50 and 173,618 is: 386,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,074.50 : 173,618 = 173,618 : x
  2. Step 2: Convert to fraction form
    78,074.50/173,618 = 173,618/x
  3. Step 3: Cross multiply
    78,074.50x = 173,618 × 173,618
  4. Step 4: Simplify right side
    78,074.50x = 30,143,209,924
  5. Step 5: Solve for x
    x = 30,143,209,924/78,074.50
  6. Step 6: Final answer
    x = 386,082.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.