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Finding the Third Proportional to 59,608.13 and 130,980.94

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Solution

The third proportional to 59,608.13 and 130,980.94 is: 287,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,608.13 : 130,980.94 = 130,980.94 : x
  2. Step 2: Convert to fraction form
    59,608.13/130,980.94 = 130,980.94/x
  3. Step 3: Cross multiply
    59,608.13x = 130,980.94 × 130,980.94
  4. Step 4: Simplify right side
    59,608.13x = 17,156,005,988.38
  5. Step 5: Solve for x
    x = 17,156,005,988.38/59,608.13
  6. Step 6: Final answer
    x = 287,813.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.