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Finding the Third Proportional to 59,919.19 and 130,564.13

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Solution

The third proportional to 59,919.19 and 130,564.13 is: 284,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,919.19 : 130,564.13 = 130,564.13 : x
  2. Step 2: Convert to fraction form
    59,919.19/130,564.13 = 130,564.13/x
  3. Step 3: Cross multiply
    59,919.19x = 130,564.13 × 130,564.13
  4. Step 4: Simplify right side
    59,919.19x = 17,046,990,737.02
  5. Step 5: Solve for x
    x = 17,046,990,737.02/59,919.19
  6. Step 6: Final answer
    x = 284,499.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.