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Finding the Third Proportional to 59,869.13 and 130,369.50

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Solution

The third proportional to 59,869.13 and 130,369.50 is: 283,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,869.13 : 130,369.50 = 130,369.50 : x
  2. Step 2: Convert to fraction form
    59,869.13/130,369.50 = 130,369.50/x
  3. Step 3: Cross multiply
    59,869.13x = 130,369.50 × 130,369.50
  4. Step 4: Simplify right side
    59,869.13x = 16,996,206,530.25
  5. Step 5: Solve for x
    x = 16,996,206,530.25/59,869.13
  6. Step 6: Final answer
    x = 283,889.34

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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.