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Finding the Third Proportional to 70,535.81 and 103,548.38

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Solution

The third proportional to 70,535.81 and 103,548.38 is: 152,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,535.81 : 103,548.38 = 103,548.38 : x
  2. Step 2: Convert to fraction form
    70,535.81/103,548.38 = 103,548.38/x
  3. Step 3: Cross multiply
    70,535.81x = 103,548.38 × 103,548.38
  4. Step 4: Simplify right side
    70,535.81x = 10,722,265,965.14
  5. Step 5: Solve for x
    x = 10,722,265,965.14/70,535.81
  6. Step 6: Final answer
    x = 152,011.66

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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.