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Finding the Third Proportional to 52,864.13 and 123,354

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Solution

The third proportional to 52,864.13 and 123,354 is: 287,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,864.13 : 123,354 = 123,354 : x
  2. Step 2: Convert to fraction form
    52,864.13/123,354 = 123,354/x
  3. Step 3: Cross multiply
    52,864.13x = 123,354 × 123,354
  4. Step 4: Simplify right side
    52,864.13x = 15,216,209,316
  5. Step 5: Solve for x
    x = 15,216,209,316/52,864.13
  6. Step 6: Final answer
    x = 287,836.21

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.