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Finding the Third Proportional to 65,711.81 and 102,947.06

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Solution

The third proportional to 65,711.81 and 102,947.06 is: 161,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,711.81 : 102,947.06 = 102,947.06 : x
  2. Step 2: Convert to fraction form
    65,711.81/102,947.06 = 102,947.06/x
  3. Step 3: Cross multiply
    65,711.81x = 102,947.06 × 102,947.06
  4. Step 4: Simplify right side
    65,711.81x = 10,598,097,677.38
  5. Step 5: Solve for x
    x = 10,598,097,677.38/65,711.81
  6. Step 6: Final answer
    x = 161,281.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.