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Finding the Third Proportional to 129,603.38 and 185,333.06

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Solution

The third proportional to 129,603.38 and 185,333.06 is: 265,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,603.38 : 185,333.06 = 185,333.06 : x
  2. Step 2: Convert to fraction form
    129,603.38/185,333.06 = 185,333.06/x
  3. Step 3: Cross multiply
    129,603.38x = 185,333.06 × 185,333.06
  4. Step 4: Simplify right side
    129,603.38x = 34,348,344,055.63
  5. Step 5: Solve for x
    x = 34,348,344,055.63/129,603.38
  6. Step 6: Final answer
    x = 265,026.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.