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Finding the Third Proportional to 58,977.56 and 128,323.13

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Solution

The third proportional to 58,977.56 and 128,323.13 is: 279,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,977.56 : 128,323.13 = 128,323.13 : x
  2. Step 2: Convert to fraction form
    58,977.56/128,323.13 = 128,323.13/x
  3. Step 3: Cross multiply
    58,977.56x = 128,323.13 × 128,323.13
  4. Step 4: Simplify right side
    58,977.56x = 16,466,824,409.77
  5. Step 5: Solve for x
    x = 16,466,824,409.77/58,977.56
  6. Step 6: Final answer
    x = 279,204.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.