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Finding the Third Proportional to 125,354 and 273,748

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Solution

The third proportional to 125,354 and 273,748 is: 597,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,354 : 273,748 = 273,748 : x
  2. Step 2: Convert to fraction form
    125,354/273,748 = 273,748/x
  3. Step 3: Cross multiply
    125,354x = 273,748 × 273,748
  4. Step 4: Simplify right side
    125,354x = 74,937,967,504
  5. Step 5: Solve for x
    x = 74,937,967,504/125,354
  6. Step 6: Final answer
    x = 597,810.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.