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Finding the Third Proportional to 58,465.13 and 127,180.13

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Solution

The third proportional to 58,465.13 and 127,180.13 is: 276,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,465.13 : 127,180.13 = 127,180.13 : x
  2. Step 2: Convert to fraction form
    58,465.13/127,180.13 = 127,180.13/x
  3. Step 3: Cross multiply
    58,465.13x = 127,180.13 × 127,180.13
  4. Step 4: Simplify right side
    58,465.13x = 16,174,784,195.02
  5. Step 5: Solve for x
    x = 16,174,784,195.02/58,465.13
  6. Step 6: Final answer
    x = 276,656.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.