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Finding the Third Proportional to 118,347.75 and 166,465.13

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Solution

The third proportional to 118,347.75 and 166,465.13 is: 234,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,347.75 : 166,465.13 = 166,465.13 : x
  2. Step 2: Convert to fraction form
    118,347.75/166,465.13 = 166,465.13/x
  3. Step 3: Cross multiply
    118,347.75x = 166,465.13 × 166,465.13
  4. Step 4: Simplify right side
    118,347.75x = 27,710,637,841.27
  5. Step 5: Solve for x
    x = 27,710,637,841.27/118,347.75
  6. Step 6: Final answer
    x = 234,145.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.