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Finding the Third Proportional to 59,784.75 and 130,686.75

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Solution

The third proportional to 59,784.75 and 130,686.75 is: 285,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,784.75 : 130,686.75 = 130,686.75 : x
  2. Step 2: Convert to fraction form
    59,784.75/130,686.75 = 130,686.75/x
  3. Step 3: Cross multiply
    59,784.75x = 130,686.75 × 130,686.75
  4. Step 4: Simplify right side
    59,784.75x = 17,079,026,625.56
  5. Step 5: Solve for x
    x = 17,079,026,625.56/59,784.75
  6. Step 6: Final answer
    x = 285,675.30

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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.