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Finding the Third Proportional to 81,658.13 and 130,020.19

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Solution

The third proportional to 81,658.13 and 130,020.19 is: 207,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.13 : 130,020.19 = 130,020.19 : x
  2. Step 2: Convert to fraction form
    81,658.13/130,020.19 = 130,020.19/x
  3. Step 3: Cross multiply
    81,658.13x = 130,020.19 × 130,020.19
  4. Step 4: Simplify right side
    81,658.13x = 16,905,249,157.54
  5. Step 5: Solve for x
    x = 16,905,249,157.54/81,658.13
  6. Step 6: Final answer
    x = 207,024.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.