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Finding the Third Proportional to 58,870.13 and 127,453.13

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Solution

The third proportional to 58,870.13 and 127,453.13 is: 275,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,870.13 : 127,453.13 = 127,453.13 : x
  2. Step 2: Convert to fraction form
    58,870.13/127,453.13 = 127,453.13/x
  3. Step 3: Cross multiply
    58,870.13x = 127,453.13 × 127,453.13
  4. Step 4: Simplify right side
    58,870.13x = 16,244,299,072.27
  5. Step 5: Solve for x
    x = 16,244,299,072.27/58,870.13
  6. Step 6: Final answer
    x = 275,934.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.