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Finding the Third Proportional to 71,341 and 110,618

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Solution

The third proportional to 71,341 and 110,618 is: 171,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,341 : 110,618 = 110,618 : x
  2. Step 2: Convert to fraction form
    71,341/110,618 = 110,618/x
  3. Step 3: Cross multiply
    71,341x = 110,618 × 110,618
  4. Step 4: Simplify right side
    71,341x = 12,236,341,924
  5. Step 5: Solve for x
    x = 12,236,341,924/71,341
  6. Step 6: Final answer
    x = 171,519.07

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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.