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Finding the Third Proportional to 58,407.75 and 122,647.50

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Solution

The third proportional to 58,407.75 and 122,647.50 is: 257,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,407.75 : 122,647.50 = 122,647.50 : x
  2. Step 2: Convert to fraction form
    58,407.75/122,647.50 = 122,647.50/x
  3. Step 3: Cross multiply
    58,407.75x = 122,647.50 × 122,647.50
  4. Step 4: Simplify right side
    58,407.75x = 15,042,409,256.25
  5. Step 5: Solve for x
    x = 15,042,409,256.25/58,407.75
  6. Step 6: Final answer
    x = 257,541.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.