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Finding the Third Proportional to 125,112 and 269,784

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Solution

The third proportional to 125,112 and 269,784 is: 581,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,112 : 269,784 = 269,784 : x
  2. Step 2: Convert to fraction form
    125,112/269,784 = 269,784/x
  3. Step 3: Cross multiply
    125,112x = 269,784 × 269,784
  4. Step 4: Simplify right side
    125,112x = 72,783,406,656
  5. Step 5: Solve for x
    x = 72,783,406,656/125,112
  6. Step 6: Final answer
    x = 581,746.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.