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Finding the Third Proportional to 70,618 and 103,571

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Solution

The third proportional to 70,618 and 103,571 is: 151,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,618 : 103,571 = 103,571 : x
  2. Step 2: Convert to fraction form
    70,618/103,571 = 103,571/x
  3. Step 3: Cross multiply
    70,618x = 103,571 × 103,571
  4. Step 4: Simplify right side
    70,618x = 10,726,952,041
  5. Step 5: Solve for x
    x = 10,726,952,041/70,618
  6. Step 6: Final answer
    x = 151,901.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.