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Finding the Third Proportional to 71,732 and 157,618

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Solution

The third proportional to 71,732 and 157,618 is: 346,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,732 : 157,618 = 157,618 : x
  2. Step 2: Convert to fraction form
    71,732/157,618 = 157,618/x
  3. Step 3: Cross multiply
    71,732x = 157,618 × 157,618
  4. Step 4: Simplify right side
    71,732x = 24,843,433,924
  5. Step 5: Solve for x
    x = 24,843,433,924/71,732
  6. Step 6: Final answer
    x = 346,336.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.