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Finding the Third Proportional to 58,330.13 and 127,958.63

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Solution

The third proportional to 58,330.13 and 127,958.63 is: 280,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,330.13 : 127,958.63 = 127,958.63 : x
  2. Step 2: Convert to fraction form
    58,330.13/127,958.63 = 127,958.63/x
  3. Step 3: Cross multiply
    58,330.13x = 127,958.63 × 127,958.63
  4. Step 4: Simplify right side
    58,330.13x = 16,373,409,711.89
  5. Step 5: Solve for x
    x = 16,373,409,711.89/58,330.13
  6. Step 6: Final answer
    x = 280,702.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.