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Finding the Third Proportional to 118,002.38 and 176,962.50

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Solution

The third proportional to 118,002.38 and 176,962.50 is: 265,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,002.38 : 176,962.50 = 176,962.50 : x
  2. Step 2: Convert to fraction form
    118,002.38/176,962.50 = 176,962.50/x
  3. Step 3: Cross multiply
    118,002.38x = 176,962.50 × 176,962.50
  4. Step 4: Simplify right side
    118,002.38x = 31,315,726,406.25
  5. Step 5: Solve for x
    x = 31,315,726,406.25/118,002.38
  6. Step 6: Final answer
    x = 265,382.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.