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Finding the Third Proportional to 59,656.50 and 129,858.19

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Solution

The third proportional to 59,656.50 and 129,858.19 is: 282,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,656.50 : 129,858.19 = 129,858.19 : x
  2. Step 2: Convert to fraction form
    59,656.50/129,858.19 = 129,858.19/x
  3. Step 3: Cross multiply
    59,656.50x = 129,858.19 × 129,858.19
  4. Step 4: Simplify right side
    59,656.50x = 16,863,148,860.79
  5. Step 5: Solve for x
    x = 16,863,148,860.79/59,656.50
  6. Step 6: Final answer
    x = 282,670.77

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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.