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Finding the Third Proportional to 82,173 and 130,639.50

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Solution

The third proportional to 82,173 and 130,639.50 is: 207,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,173 : 130,639.50 = 130,639.50 : x
  2. Step 2: Convert to fraction form
    82,173/130,639.50 = 130,639.50/x
  3. Step 3: Cross multiply
    82,173x = 130,639.50 × 130,639.50
  4. Step 4: Simplify right side
    82,173x = 17,066,678,960.25
  5. Step 5: Solve for x
    x = 17,066,678,960.25/82,173
  6. Step 6: Final answer
    x = 207,692.05

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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.