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Finding the Third Proportional to 59,022.38 and 126,459

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Solution

The third proportional to 59,022.38 and 126,459 is: 270,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,022.38 : 126,459 = 126,459 : x
  2. Step 2: Convert to fraction form
    59,022.38/126,459 = 126,459/x
  3. Step 3: Cross multiply
    59,022.38x = 126,459 × 126,459
  4. Step 4: Simplify right side
    59,022.38x = 15,991,878,681
  5. Step 5: Solve for x
    x = 15,991,878,681/59,022.38
  6. Step 6: Final answer
    x = 270,946.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.