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Finding the Third Proportional to 58,345.50 and 125,557.50

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Solution

The third proportional to 58,345.50 and 125,557.50 is: 270,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,345.50 : 125,557.50 = 125,557.50 : x
  2. Step 2: Convert to fraction form
    58,345.50/125,557.50 = 125,557.50/x
  3. Step 3: Cross multiply
    58,345.50x = 125,557.50 × 125,557.50
  4. Step 4: Simplify right side
    58,345.50x = 15,764,685,806.25
  5. Step 5: Solve for x
    x = 15,764,685,806.25/58,345.50
  6. Step 6: Final answer
    x = 270,195.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.