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Finding the Third Proportional to 59,817.87 and 130,707.42

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Solution

The third proportional to 59,817.87 and 130,707.42 is: 285,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,817.87 : 130,707.42 = 130,707.42 : x
  2. Step 2: Convert to fraction form
    59,817.87/130,707.42 = 130,707.42/x
  3. Step 3: Cross multiply
    59,817.87x = 130,707.42 × 130,707.42
  4. Step 4: Simplify right side
    59,817.87x = 17,084,430,133.21
  5. Step 5: Solve for x
    x = 17,084,430,133.21/59,817.87
  6. Step 6: Final answer
    x = 285,607.48

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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.