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Finding the Third Proportional to 105,813 and 154,737

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Solution

The third proportional to 105,813 and 154,737 is: 226,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,813 : 154,737 = 154,737 : x
  2. Step 2: Convert to fraction form
    105,813/154,737 = 154,737/x
  3. Step 3: Cross multiply
    105,813x = 154,737 × 154,737
  4. Step 4: Simplify right side
    105,813x = 23,943,539,169
  5. Step 5: Solve for x
    x = 23,943,539,169/105,813
  6. Step 6: Final answer
    x = 226,281.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.