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Finding the Third Proportional to 82,695.94 and 147,349.13

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Solution

The third proportional to 82,695.94 and 147,349.13 is: 262,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,695.94 : 147,349.13 = 147,349.13 : x
  2. Step 2: Convert to fraction form
    82,695.94/147,349.13 = 147,349.13/x
  3. Step 3: Cross multiply
    82,695.94x = 147,349.13 × 147,349.13
  4. Step 4: Simplify right side
    82,695.94x = 21,711,764,638.27
  5. Step 5: Solve for x
    x = 21,711,764,638.27/82,695.94
  6. Step 6: Final answer
    x = 262,549.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.