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Finding the Third Proportional to 58,750.31 and 125,798.06

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Solution

The third proportional to 58,750.31 and 125,798.06 is: 269,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,750.31 : 125,798.06 = 125,798.06 : x
  2. Step 2: Convert to fraction form
    58,750.31/125,798.06 = 125,798.06/x
  3. Step 3: Cross multiply
    58,750.31x = 125,798.06 × 125,798.06
  4. Step 4: Simplify right side
    58,750.31x = 15,825,152,528.75
  5. Step 5: Solve for x
    x = 15,825,152,528.75/58,750.31
  6. Step 6: Final answer
    x = 269,362.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.