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Finding the Third Proportional to 147,702.66 and 164,310.19

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Solution

The third proportional to 147,702.66 and 164,310.19 is: 182,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,702.66 : 164,310.19 = 164,310.19 : x
  2. Step 2: Convert to fraction form
    147,702.66/164,310.19 = 164,310.19/x
  3. Step 3: Cross multiply
    147,702.66x = 164,310.19 × 164,310.19
  4. Step 4: Simplify right side
    147,702.66x = 26,997,837,716.29
  5. Step 5: Solve for x
    x = 26,997,837,716.29/147,702.66
  6. Step 6: Final answer
    x = 182,785.05

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.